Palamodov, Victor Algebraic symplectic reduction and quantization of singular spaces. (English) Zbl 07803243 J. Math. Phys. Anal. Geom. 19, No. 1, 178-190 (2023). MSC: 53D55 53D20 PDFBibTeX XMLCite \textit{V. Palamodov}, J. Math. Phys. Anal. Geom. 19, No. 1, 178--190 (2023; Zbl 07803243) Full Text: DOI arXiv
Bieliavsky, Pierre; Dendoncker, Valentin A non-formal formula for the Rankin-Cohen deformation quantization. (English) Zbl 07789229 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part I. Cham: Springer. Lect. Notes Comput. Sci. 14071, 524-532 (2023). MSC: 53D55 PDFBibTeX XMLCite \textit{P. Bieliavsky} and \textit{V. Dendoncker}, Lect. Notes Comput. Sci. 14071, 524--532 (2023; Zbl 07789229) Full Text: DOI
Li, Yong; Sauzin, David; Sun, Shanzhong On the Moyal star product of resurgent series. (Sur le star produit de Moyal des séries résurgentes.) (English. French summary) Zbl 1526.53084 Ann. Inst. Fourier 73, No. 5, 1987-2027 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{Y. Li} et al., Ann. Inst. Fourier 73, No. 5, 1987--2027 (2023; Zbl 1526.53084) Full Text: DOI arXiv
Cvitan, Maro; Prester, Predrag Dominis; Giaccari, Stefano Gregorio; Paulišić, Mateo; Vuković, Ivan Gauging higher-spin-like symmetries using the Moyal product. (English) Zbl 07819688 Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the workshop, Sofia, Bulgaria, online, June 2021. Singapore: Springer. Springer Proc. Math. Stat. 396, 463-469 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53C07 PDFBibTeX XMLCite \textit{M. Cvitan} et al., Springer Proc. Math. Stat. 396, 463--469 (2022; Zbl 07819688) Full Text: DOI
Natividad, Laarni B.; Nable, Job A. Symbol correspondence for Euclidean systems. (English) Zbl 1513.81096 J. Geom. Symmetry Phys. 62, 67-84 (2021). MSC: 81S30 53D55 81R05 PDFBibTeX XMLCite \textit{L. B. Natividad} and \textit{J. A. Nable}, J. Geom. Symmetry Phys. 62, 67--84 (2021; Zbl 1513.81096) Full Text: DOI
Sugamoto, Akio; Bamba, Kazuharu; Kawamura, Tetuya; Kuwana, Anna; Nagata, Yusaku; Saitou, Mayumi Nambu dynamics and hydrodynamics of granular material. (English) Zbl 1496.76153 PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C105, 13 p. (2021). MSC: 76T25 76Y05 70S99 PDFBibTeX XMLCite \textit{A. Sugamoto} et al., PTEP, Prog. Theor. Exper. Phys. 2021, No. 12, Article ID 12C105, 13 p. (2021; Zbl 1496.76153) Full Text: DOI arXiv
Soloviev, Michael Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces. (English) Zbl 1484.53117 Integral Equations Oper. Theory 93, No. 5, Paper No. 52, 32 p. (2021). Reviewer: Nima Moshayedi (Berkeley) MSC: 53D55 43A22 35S05 46F05 PDFBibTeX XMLCite \textit{M. Soloviev}, Integral Equations Oper. Theory 93, No. 5, Paper No. 52, 32 p. (2021; Zbl 1484.53117) Full Text: DOI arXiv
Natividad, Laarni B.; Nable, Job A. Star product on the Euclidean motion group in the plane. (English) Zbl 1471.81058 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 209-218 (2021). MSC: 81S30 22E70 53D55 46L05 47N70 68U10 PDFBibTeX XMLCite \textit{L. B. Natividad} and \textit{J. A. Nable}, Geom. Integrability Quantization 22, 209--218 (2021; Zbl 1471.81058) Full Text: DOI
Cahen, Benjamin Formal deformations and principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) and \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 1524.22020 Czech. Math. J. 70, No. 4, 935-951 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22E46 17B10 17B20 17B56 53D55 PDFBibTeX XMLCite \textit{B. Cahen}, Czech. Math. J. 70, No. 4, 935--951 (2020; Zbl 1524.22020) Full Text: DOI
Belmonte, Fabián; Cuéllar, Sebastián Constants of motion of the harmonic oscillator. (English) Zbl 1451.81279 Math. Phys. Anal. Geom. 23, No. 4, Paper No. 35, 21 p. (2020). MSC: 81S08 81Q10 81R05 53D55 34B20 34C14 PDFBibTeX XMLCite \textit{F. Belmonte} and \textit{S. Cuéllar}, Math. Phys. Anal. Geom. 23, No. 4, Paper No. 35, 21 p. (2020; Zbl 1451.81279) Full Text: DOI arXiv
Soloviev, M. A. Spaces of type \(S\) and deformation quantization. (English. Russian original) Zbl 1441.81115 Theor. Math. Phys. 201, No. 3, 1682-1700 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 315-336 (2019). MSC: 81S10 53D55 PDFBibTeX XMLCite \textit{M. A. Soloviev}, Theor. Math. Phys. 201, No. 3, 1682--1700 (2019; Zbl 1441.81115); translation from Teor. Mat. Fiz. 201, No. 3, 315--336 (2019) Full Text: DOI
Iftimie, Viorel; Măntoiu, Marius; Purice, Radu Quantum observables as magnetic \(\Psi\)DO. (English) Zbl 1463.35517 Rev. Roum. Math. Pures Appl. 64, No. 2-3, 197-223 (2019). MSC: 35S05 47L15 47L90 47A60 81Q10 PDFBibTeX XMLCite \textit{V. Iftimie} et al., Rev. Roum. Math. Pures Appl. 64, No. 2--3, 197--223 (2019; Zbl 1463.35517)
Bonora, Loriano Higher spin theories in flat space-time. (English) Zbl 1405.81074 Int. J. Mod. Phys. A 33, No. 34, Article ID 1845007, 13 p. (2018). MSC: 81T13 81R25 53D55 58J28 PDFBibTeX XMLCite \textit{L. Bonora}, Int. J. Mod. Phys. A 33, No. 34, Article ID 1845007, 13 p. (2018; Zbl 1405.81074) Full Text: DOI
Balsomo, Alexander J.; Nable, Job A. Deformation quantization in the teaching of Lie group representations. (English) Zbl 1402.53066 J. Geom. Symmetry Phys. 48, 79-100 (2018). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 20G05 20C35 PDFBibTeX XMLCite \textit{A. J. Balsomo} and \textit{J. A. Nable}, J. Geom. Symmetry Phys. 48, 79--100 (2018; Zbl 1402.53066) Full Text: DOI arXiv Euclid
Costa, Caroline; Tenser, Marcia R.; Amorim, Ronni G. G.; Fernandes, Marco C. B.; Santana, Ademir E.; Vianna, J. David M. Symplectic field theories: scalar and spinor representations. (English) Zbl 1392.81169 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 27, 18 p. (2018). MSC: 81S30 53D05 53D55 83A05 81Q05 81R20 PDFBibTeX XMLCite \textit{C. Costa} et al., Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 27, 18 p. (2018; Zbl 1392.81169) Full Text: DOI Link
Andersson, Andreas Electromagnetism in terms of quantum measurements. (English) Zbl 1357.81017 J. Math. Phys. 57, No. 12, 122104, 18 p. (2016). Reviewer: Piotr Garbaczewski (Opole) MSC: 81P15 46L65 81Q10 46L07 81S30 81T75 46L89 PDFBibTeX XMLCite \textit{A. Andersson}, J. Math. Phys. 57, No. 12, 122104, 18 p. (2016; Zbl 1357.81017) Full Text: DOI arXiv Link
Berra-Montiel, Jasel; Molgado, Alberto; Palacios-García, César D. Causal Poisson bracket via deformation quantization. (English) Zbl 1346.53075 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650104, 24 p. (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{J. Berra-Montiel} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650104, 24 p. (2016; Zbl 1346.53075) Full Text: DOI arXiv
Tosiek, J.; Cordero, R.; Turrubiates, F. J. The Wentzel-Kramers-Brillouin approximation method applied to the Wigner function. (English) Zbl 1348.81241 J. Math. Phys. 57, No. 6, 062103, 23 p. (2016). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81Q20 81Q10 81S30 81S10 53D55 PDFBibTeX XMLCite \textit{J. Tosiek} et al., J. Math. Phys. 57, No. 6, 062103, 23 p. (2016; Zbl 1348.81241) Full Text: DOI arXiv
da Cruz Filho, J. S.; Amorim, R. G. G.; Ulhoa, S. C.; Khanna, F. C.; Santana, A. E.; Vianna, J. D. M. Hénon-Heiles interaction for hydrogen atom in phase space. (English) Zbl 1338.81266 Int. J. Mod. Phys. A 31, No. 10, Article ID 1650046, 24 p. (2016). MSC: 81S30 35Q41 81V45 PDFBibTeX XMLCite \textit{J. S. da Cruz Filho} et al., Int. J. Mod. Phys. A 31, No. 10, Article ID 1650046, 24 p. (2016; Zbl 1338.81266) Full Text: DOI arXiv
de Gosson, Maurice A.; Luef, Franz Born-Jordan pseudodifferential calculus, Bopp operators and deformation quantization. (English) Zbl 1394.47050 Integral Equations Oper. Theory 84, No. 4, 463-485 (2016). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 47G30 42B10 53D55 PDFBibTeX XMLCite \textit{M. A. de Gosson} and \textit{F. Luef}, Integral Equations Oper. Theory 84, No. 4, 463--485 (2016; Zbl 1394.47050) Full Text: DOI
Forger, Michael; Paulino, Daniel V. \(C^{\ast}\)-completions and the DFR-algebra. (English) Zbl 1361.81082 J. Math. Phys. 57, No. 2, 023517, 31 p. (2016). Reviewer: Luca Giorgetti (Roma) MSC: 81S10 46L52 46L65 46L05 81T05 53D55 83C65 81R60 PDFBibTeX XMLCite \textit{M. Forger} and \textit{D. V. Paulino}, J. Math. Phys. 57, No. 2, 023517, 31 p. (2016; Zbl 1361.81082) Full Text: DOI arXiv
Remm, Elisabeth; Markl, Martin Universal deformation formulas. (English) Zbl 1344.58010 Commun. Algebra 43, No. 11, 4711-4734 (2015). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 58H15 13D10 17B37 PDFBibTeX XMLCite \textit{E. Remm} and \textit{M. Markl}, Commun. Algebra 43, No. 11, 4711--4734 (2015; Zbl 1344.58010) Full Text: DOI arXiv
Nizamidin, Halqem; Yakup, Rehimhaji; Dulat, Sayipjamal; Hekim, Mamatabdulla The Wigner functions for neutral particles in an external electromagnetic field in noncommutative quantum mechanics. (English) Zbl 1314.81114 Int. J. Theor. Phys. 54, No. 2, 561-571 (2015). MSC: 81R60 81S30 PDFBibTeX XMLCite \textit{H. Nizamidin} et al., Int. J. Theor. Phys. 54, No. 2, 561--571 (2015; Zbl 1314.81114) Full Text: DOI
Kanazawa, Tomoyo; Yoshioka, Akira An \(S^1\)-reduction of non-formal star product. (English) Zbl 1318.53103 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7–12, 2013. Sofia: Avangard Prima. 162-172 (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D18 PDFBibTeX XMLCite \textit{T. Kanazawa} and \textit{A. Yoshioka}, in: Proceedings of the 15th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 7--12, 2013. Sofia: Avangard Prima. 162--172 (2014; Zbl 1318.53103) Full Text: DOI
Błaszak, Maciej; Domański, Ziemowit Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure. (English) Zbl 1343.81142 Ann. Phys. 339, 89-108 (2013). MSC: 81S05 53D55 81Q35 53C80 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 339, 89--108 (2013; Zbl 1343.81142) Full Text: DOI arXiv
Błaszak, Maciej; Domański, Ziemowit Canonical transformations in quantum mechanics. (English) Zbl 1266.81118 Ann. Phys. 331, 70-96 (2013). MSC: 81S10 53D55 81S30 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 331, 70--96 (2013; Zbl 1266.81118) Full Text: DOI arXiv
Amorim, R. G. G.; Fernandes, M. C. B.; Khanna, F. C.; Santana, A. E.; Vianna, J. D. M. Solutions for the Landau problem using symplectic representations of the Galilei group. (English) Zbl 1260.81149 Int. J. Mod. Phys. A 28, No. 5-6, Paper No. 1350013, 12 p. (2013). MSC: 81S30 81R05 53D50 PDFBibTeX XMLCite \textit{R. G. G. Amorim} et al., Int. J. Mod. Phys. A 28, No. 5--6, Paper No. 1350013, 12 p. (2013; Zbl 1260.81149) Full Text: DOI
Soloviev, M. A. Generalized Weyl correspondence and Moyal multiplier algebras. (English. Russian original) Zbl 1280.81138 Theor. Math. Phys. 173, No. 1, 1359-1376 (2012); translation from Teor. Mat. Fiz. 173, No. 1, 38-59 (2012). MSC: 81T75 81S30 53D55 46L60 46F05 35R03 PDFBibTeX XMLCite \textit{M. A. Soloviev}, Theor. Math. Phys. 173, No. 1, 1359--1376 (2012; Zbl 1280.81138); translation from Teor. Mat. Fiz. 173, No. 1, 38--59 (2012) Full Text: DOI
Soloviev, M. A. Twisted convolution and Moyal star product of generalized functions. (English. Russian original) Zbl 1290.46030 Theor. Math. Phys. 172, No. 1, 885-900 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 9-27 (2012). MSC: 46F05 46L60 46E10 PDFBibTeX XMLCite \textit{M. A. Soloviev}, Theor. Math. Phys. 172, No. 1, 885--900 (2012; Zbl 1290.46030); translation from Teor. Mat. Fiz. 172, No. 1, 9--27 (2012) Full Text: DOI arXiv
Błaszak, Maciej; Domański, Ziemowit Quantum trajectories. (English) Zbl 1266.81125 Phys. Lett., A 376, No. 47-48, 3593-3598 (2012). MSC: 81S30 81S10 81Q20 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Phys. Lett., A 376, No. 47--48, 3593--3598 (2012; Zbl 1266.81125) Full Text: DOI arXiv
Léandre, Rémi; Nguema, Maurice Obame Deformation quantization by Moyal star-product and Stratonovich chaos. (English) Zbl 1244.60065 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 011, 15 p. (2012). MSC: 60H40 81S20 PDFBibTeX XMLCite \textit{R. Léandre} and \textit{M. O. Nguema}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 011, 15 p. (2012; Zbl 1244.60065) Full Text: DOI arXiv
Błaszak, Maciej; Domański, Ziemowit Phase space quantum mechanics. (English) Zbl 1247.81231 Ann. Phys. 327, No. 2, 167-211 (2012). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 81S30 53D55 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 327, No. 2, 167--211 (2012; Zbl 1247.81231) Full Text: DOI arXiv
Soloviev, M. A. Noncommutative deformations of quantum field theories, locality, and causality. (English) Zbl 1256.81109 Theor. Math. Phys. 163, No. 3, 741-752 (2010) and Teor. Mat. Fiz. 163, No. 3, 413-429 (2010). MSC: 81T75 53D55 32A65 PDFBibTeX XMLCite \textit{M. A. Soloviev}, Theor. Math. Phys. 163, No. 3, 741--752 (2010; Zbl 1256.81109) Full Text: DOI arXiv
Hounkonnou, M. N.; Samary, D. Ousmane Twisted Grosse-Wulkenhaar \(\phi^{\bigstar 4}\) model: Dynamical noncommutativity and Noether currents. (English) Zbl 1187.81199 J. Phys. A, Math. Theor. 43, No. 15, Article ID 155202, 14 p. (2010). MSC: 81T75 81T10 81R40 PDFBibTeX XMLCite \textit{M. N. Hounkonnou} and \textit{D. O. Samary}, J. Phys. A, Math. Theor. 43, No. 15, Article ID 155202, 14 p. (2010; Zbl 1187.81199) Full Text: DOI arXiv
Zhu, Xiujuan Noncommutative multi-solitons in a modified chiral model in \(2+1\) dimensions. (English) Zbl 1212.58022 Commun. Math. Res. 25, No. 4, 349-360 (2009). MSC: 58J72 46L87 PDFBibTeX XMLCite \textit{X. Zhu}, Commun. Math. Res. 25, No. 4, 349--360 (2009; Zbl 1212.58022)
Hennings, Mark A.; Dubin, Daniel A. On Hansen’s version of spectral theory and the Moyal product. (English) Zbl 1204.81102 Publ. Res. Inst. Math. Sci. 45, No. 4, 1041-1093 (2009). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81S10 81S30 46H30 47A10 PDFBibTeX XMLCite \textit{M. A. Hennings} and \textit{D. A. Dubin}, Publ. Res. Inst. Math. Sci. 45, No. 4, 1041--1093 (2009; Zbl 1204.81102) Full Text: DOI
Derelị, Tekịn; Hakịoğlu, Tuğrul; Teğmen, Adnan Quantum canonical transformations in Weyl-Wigner-Groenewold-Moyal formalism. (English) Zbl 1175.81133 Int. J. Mod. Phys. A 24, No. 24, 4573-4587 (2009). MSC: 81S10 PDFBibTeX XMLCite \textit{T. Derelị} et al., Int. J. Mod. Phys. A 24, No. 24, 4573--4587 (2009; Zbl 1175.81133) Full Text: DOI arXiv
Di Grezia, Elisabetta; Esposito, Giampiero; Miele, Gennaro Nonlocal field theory driven by a deformed product. Generalization of Kalb-Ramond duality. (English) Zbl 1168.81016 Int. J. Geom. Methods Mod. Phys. 6, No. 2, 201-218 (2009). MSC: 81T05 81S10 53D55 81T60 PDFBibTeX XMLCite \textit{E. Di Grezia} et al., Int. J. Geom. Methods Mod. Phys. 6, No. 2, 201--218 (2009; Zbl 1168.81016) Full Text: DOI arXiv
Fiore, Gaetano On the consequences of twisted Poincaré symmetry upon QFT on Moyal noncommutative spaces. (English) Zbl 1170.81040 Seiler, Erhard (ed.) et al., Quantum field theory and beyond. Essays in honor of Wolfhart Zimmermann. Proceedings of the symposium in honor of Wolfhart Zimmermann’s 80th birthday, Ringberg Castle, Tegernsee, Germany, 3–6 February 2008. Hackensack, NJ: World Scientific (ISBN 978-981-283-354-9/hbk). 64-84 (2008). MSC: 81T75 81R50 17B37 53D55 PDFBibTeX XMLCite \textit{G. Fiore}, in: Quantum field theory and beyond. Essays in honor of Wolfhart Zimmermann. Proceedings of the symposium in honor of Wolfhart Zimmermann's 80th birthday, Ringberg Castle, Tegernsee, Germany, 3--6 February 2008. Hackensack, NJ: World Scientific. 64--84 (2008; Zbl 1170.81040) Full Text: arXiv
Aschieri, Paolo; Castellani, Leonardo; Dimitrijević, Marija Dynamical noncommutativity and noether theorem in twisted \({\phi^{\star 4}}\) theory. (English) Zbl 1170.53073 Lett. Math. Phys. 85, No. 1, 39-53 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 53D55 81T75 70S10 PDFBibTeX XMLCite \textit{P. Aschieri} et al., Lett. Math. Phys. 85, No. 1, 39--53 (2008; Zbl 1170.53073) Full Text: DOI arXiv
Gosson, Maurice De; Luef, Franz A new approach to the \(*\)-genvalue equation. (English) Zbl 1165.53059 Lett. Math. Phys. 85, No. 2-3, 173-183 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 47G30 81S10 47N50 PDFBibTeX XMLCite \textit{M. De Gosson} and \textit{F. Luef}, Lett. Math. Phys. 85, No. 2--3, 173--183 (2008; Zbl 1165.53059) Full Text: DOI arXiv
Gurău, Razvan; Tanasă, Adrian Dimensional regularization and renormalization of non-commutative quantum field theory. (English) Zbl 1147.81019 Ann. Henri Poincaré 9, No. 4, 655-683 (2008). Reviewer: Akira Asada (Takarazuka) MSC: 81T75 81T10 83E15 PDFBibTeX XMLCite \textit{R. Gurău} and \textit{A. Tanasă}, Ann. Henri Poincaré 9, No. 4, 655--683 (2008; Zbl 1147.81019) Full Text: DOI arXiv
Gayral, Victor; Gracia-Bondía, José M.; Várilly, Joseph C. Fourier analysis on the affine group, quantization and noncompact Connes geometries. (English) Zbl 1148.43005 J. Noncommut. Geom. 2, No. 2, 215-261 (2008). Reviewer: Vladimir Balan (Bucureşti) MSC: 43A30 43A85 58B34 81S30 PDFBibTeX XMLCite \textit{V. Gayral} et al., J. Noncommut. Geom. 2, No. 2, 215--261 (2008; Zbl 1148.43005) Full Text: DOI arXiv
Klimov, A. B.; Romero, J. L. A generalized Wigner function for quantum systems with the SU(2) dynamical symmetry group. (English) Zbl 1134.81034 J. Phys. A, Math. Theor. 41, No. 5, Article ID 055303, 20 p. (2008). Reviewer: Bassano Vacchini (Milano) MSC: 81S30 81R05 81S10 PDFBibTeX XMLCite \textit{A. B. Klimov} and \textit{J. L. Romero}, J. Phys. A, Math. Theor. 41, No. 5, Article ID 055303, 20 p. (2008; Zbl 1134.81034) Full Text: DOI
Soloviev, M. A. Star product algebras of test functions. (English. Russian original) Zbl 1136.81408 Theor. Math. Phys. 153, No. 1, 1351-1363 (2007); translation from Teor. Mat. Fiz. 153, No. 1, 3-17 (2007). MSC: 81T75 81T70 53D55 PDFBibTeX XMLCite \textit{M. A. Soloviev}, Theor. Math. Phys. 153, No. 1, 1351--1363 (2007; Zbl 1136.81408); translation from Teor. Mat. Fiz. 153, No. 1, 3--17 (2007) Full Text: DOI arXiv
Iftimie, Viorel; Măntoiu, Marius; Purice, Radu Magnetic pseudodifferential operators. (English) Zbl 1165.35056 Publ. Res. Inst. Math. Sci. 43, No. 3, 585-623 (2007). MSC: 35S05 47G30 81Q10 PDFBibTeX XMLCite \textit{V. Iftimie} et al., Publ. Res. Inst. Math. Sci. 43, No. 3, 585--623 (2007; Zbl 1165.35056) Full Text: DOI arXiv
Léandre, Rémi Deformation quantization in white noise analysis. (English) Zbl 1143.53082 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 027, 8 p. (2007). Reviewer: Béchir Dali (Bizerte) MSC: 53D55 60H40 60H07 81S10 81S30 PDFBibTeX XMLCite \textit{R. Léandre}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 027, 8 p. (2007; Zbl 1143.53082) Full Text: DOI arXiv EuDML EMIS
Măntoiu, Marius; Purice, Radu; Richard, Serge On the essential spectrum of magnetic pseudodifferential operators. (English) Zbl 1113.47036 C. R., Math., Acad. Sci. Paris 344, No. 1, 11-14 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47G30 35S05 47C15 81Q10 81R15 PDFBibTeX XMLCite \textit{M. Măntoiu} et al., C. R., Math., Acad. Sci. Paris 344, No. 1, 11--14 (2007; Zbl 1113.47036) Full Text: DOI
Scholtz, Frederik G.; Geyer, Hendrik B. Operator equations and Moyal products-metrics in quasi-Hermitian quantum mechanics. (English) Zbl 1247.81234 Phys. Lett., B 634, No. 1, 84-92 (2006). MSC: 81S10 81Q15 PDFBibTeX XMLCite \textit{F. G. Scholtz} and \textit{H. B. Geyer}, Phys. Lett., B 634, No. 1, 84--92 (2006; Zbl 1247.81234) Full Text: DOI arXiv
Mebarki, N.; Khallili, F.; Boussahel, M.; Haouchine, M. Modified Moyal-Weyl star product in a curved non-commutative space-time. (English) Zbl 1135.83312 EJTP, Electron. J. Theor. Phys. 3, No. 12, 37-45 (2006). MSC: 83C65 81R60 81R50 17B37 PDFBibTeX XMLCite \textit{N. Mebarki} et al., EJTP, Electron. J. Theor. Phys. 3, No. 12, 37--45 (2006; Zbl 1135.83312)
Ginzburg, Victor; Schedler, Travis Moyal quantization and stable homology of necklage Lie algebras. (English) Zbl 1125.17008 Mosc. Math. J. 6, No. 3, 431-459 (2006). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B55 16G20 53D55 17B37 81S10 PDFBibTeX XMLCite \textit{V. Ginzburg} and \textit{T. Schedler}, Mosc. Math. J. 6, No. 3, 431--459 (2006; Zbl 1125.17008) Full Text: arXiv
Mickelsson, Jouko Star products and central extensions. (English) Zbl 1123.53050 Booß-Bavnbek, Bernhelm (ed.) et al., Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20–22, 2005. Hackensack, NJ: World Scientific (ISBN 981-256-805-0/hbk). 401-410 (2006). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D55 22E67 81R10 PDFBibTeX XMLCite \textit{J. Mickelsson}, in: Analysis, geometry and topology of elliptic operators. Papers of a workshop in honor of Krzysztof P. Wojciechowski on his 50th birthday, Roskilde, Denmark, May 20--22, 2005. Hackensack, NJ: World Scientific. 401--410 (2006; Zbl 1123.53050) Full Text: arXiv
Gracia-Bondía, J. M. Hidden symmetry and Hopf algebra. (English) Zbl 1110.81326 Clemente-Gallardo, Jesús (ed.) et al., Groups, geometry and physics. Lectures presented at the workshop, Zaragoza, Spain, December 9–10, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 29, 129-140 (2006). MSC: 81R60 81T15 17B35 16W30 PDFBibTeX XMLCite \textit{J. M. Gracia-Bondía}, in: Groups, geometry and physics. Lectures presented at the workshop, Zaragoza, Spain, December 9--10, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. 129--140 (2006; Zbl 1110.81326) Full Text: arXiv
Ševera, Pavol Symplectic generating functions and Moyal products. (English) Zbl 1101.53046 Lett. Math. Phys. 75, No. 3, 273-277 (2006). MSC: 53D05 53D22 53C35 PDFBibTeX XMLCite \textit{P. Ševera}, Lett. Math. Phys. 75, No. 3, 273--277 (2006; Zbl 1101.53046) Full Text: DOI Link
Chakraborty, Biswajit; Gangopadhyay, Sunandan; Hazra, Arindam Ghosh; Scholtz, Frederik G. Twisted Galilean symmetry and the Pauli principle at low energies. (English) Zbl 1100.81040 J. Phys. A, Math. Gen. 39, No. 30, 9557-9572 (2006). Reviewer: Akira Asada (Takarazuka) MSC: 81T75 81R60 17B81 16W30 PDFBibTeX XMLCite \textit{B. Chakraborty} et al., J. Phys. A, Math. Gen. 39, No. 30, 9557--9572 (2006; Zbl 1100.81040) Full Text: DOI arXiv
Gayral, Victor; Iochum, Bruno; Várilly, Joseph C. Dixmier traces on noncompact isospectral deformations. (English) Zbl 1106.46054 J. Funct. Anal. 237, No. 2, 507-539 (2006). MSC: 46L85 58J53 58B34 PDFBibTeX XMLCite \textit{V. Gayral} et al., J. Funct. Anal. 237, No. 2, 507--539 (2006; Zbl 1106.46054) Full Text: DOI arXiv
Marmo, G.; Vitale, P.; Zampini, A. Noncommutative differential calculus for Moyal subalgebras. (English) Zbl 1100.46044 J. Geom. Phys. 56, No. 4, 611-622 (2006). MSC: 46L87 PDFBibTeX XMLCite \textit{G. Marmo} et al., J. Geom. Phys. 56, No. 4, 611--622 (2006; Zbl 1100.46044) Full Text: DOI arXiv
Măntoiu, Marius; Purice, Radu; Serge, Richard Twisted crossed products and magnetic pseudodifferential operators. (English) Zbl 1199.46158 Boca, Florin-Petre (ed.) et al., Advances in operator algebras and mathematical physics. Proceedings of the 2nd conference on operator algebras and mathematical physics, Sinaia, Romania, June 26–July 4, 2003. Bucharest: Theta (ISBN 973-85432-7-4). Theta Series in Advanced Mathematics 5, 137-172 (2005). Reviewer: Mihai Pascu (Bucharest) MSC: 46L65 46L55 46N50 81R15 PDFBibTeX XMLCite \textit{M. Măntoiu} et al., Theta Ser. Adv. Math. 5, 137--172 (2005; Zbl 1199.46158) Full Text: arXiv
Koikawa, Takao On \(\kappa\) in the \(\star\) product. (English) Zbl 1077.81057 Mod. Phys. Lett. A 20, No. 17-18, 1387-1394 (2005). MSC: 81S10 53D55 37K40 PDFBibTeX XMLCite \textit{T. Koikawa}, Mod. Phys. Lett. A 20, No. 17--18, 1387--1394 (2005; Zbl 1077.81057) Full Text: DOI
Wildberger, N. J. Weyl quantization and a symbol calculus for abelian groups. (English) Zbl 1080.44002 J. Aust. Math. Soc. 78, No. 3, 323-338 (2005). MSC: 44A45 17B05 11F27 81S10 PDFBibTeX XMLCite \textit{N. J. Wildberger}, J. Aust. Math. Soc. 78, No. 3, 323--338 (2005; Zbl 1080.44002) Full Text: DOI
Dimakis, Aristophanes; Müller-Hoissen, Folkert An algebraic scheme associated with the non-commutative KP hierarchy and some of its extensions. (English) Zbl 1075.81035 J. Phys. A, Math. Gen. 38, No. 24, 5453-5505 (2005). Reviewer: Alexander V. Gemintern (Haifa) MSC: 81R15 81R12 81R50 37K10 53D55 PDFBibTeX XMLCite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, J. Phys. A, Math. Gen. 38, No. 24, 5453--5505 (2005; Zbl 1075.81035) Full Text: DOI arXiv
Xiong, Chuan-Hua; Yue, Rui-Hong Dirac operator on fuzzy sphere with \(\text{U}(1)\) Dirac monopole background. (English) Zbl 1167.81420 Commun. Theor. Phys. 42, No. 2, 247-250 (2004). MSC: 81R60 PDFBibTeX XMLCite \textit{C.-H. Xiong} and \textit{R.-H. Yue}, Commun. Theor. Phys. 42, No. 2, 247--250 (2004; Zbl 1167.81420) Full Text: DOI
Djemaï, A. E. F.; Smail, H. On quantum mechanics on noncommutative quantum phase space. (English) Zbl 1167.81422 Commun. Theor. Phys. 41, No. 6, 837-844 (2004). MSC: 81S10 81R60 81S30 PDFBibTeX XMLCite \textit{A. E. F. Djemaï} and \textit{H. Smail}, Commun. Theor. Phys. 41, No. 6, 837--844 (2004; Zbl 1167.81422) Full Text: DOI arXiv
Bandyopadhyay, P. Noncommutative geometry and quantum phase. (English) Zbl 1067.58005 Eriksson, Sirkka-Liisa (ed.), Clifford algebras and potential theory. Proceedings of the summer school, Mekrijärvi, Finland, June 24–28, 2002. Dedicated to the memorial of Pertti Lounesto. Joensuu: University of Joensuu, Department of Mathematics (ISBN 952-458-555-3/pbk). Report Series. Department of Mathematics, University of Joensuu 7, 1-6 (2004). Reviewer: Chun-Gil Park (Daejeon) MSC: 58B34 81R60 PDFBibTeX XMLCite \textit{P. Bandyopadhyay}, Rep. Ser., Dept. Math. Univ. Joensuu 7, 1--6 (2004; Zbl 1067.58005)
Djemai, A. E. F. Noncommutative classical mechanics. (English) Zbl 1058.83521 Int. J. Theor. Phys. 43, No. 2, 299-314 (2004). MSC: 83C65 58B34 81Q60 PDFBibTeX XMLCite \textit{A. E. F. Djemai}, Int. J. Theor. Phys. 43, No. 2, 299--314 (2004; Zbl 1058.83521) Full Text: DOI arXiv
Gayral, V.; Gracia-Bondía, J. M.; Iochum, B.; Schücker, T.; Várilly, J. C. Moyal planes are spectral triples. (English) Zbl 1084.58008 Commun. Math. Phys. 246, No. 3, 569-623 (2004). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J42 81R60 46L87 46L60 PDFBibTeX XMLCite \textit{V. Gayral} et al., Commun. Math. Phys. 246, No. 3, 569--623 (2004; Zbl 1084.58008) Full Text: arXiv
Wang, Xiao-Hui; Hou, Bo-Yu; Yang, Zhan-Ying; Yue, Rui-Hong Open superstring star as a continuous Moyal product with B field. (English) Zbl 1167.81433 Commun. Theor. Phys. 40, No. 4, 451-456 (2003). MSC: 81T30 81S10 PDFBibTeX XMLCite \textit{X.-H. Wang} et al., Commun. Theor. Phys. 40, No. 4, 451--456 (2003; Zbl 1167.81433) Full Text: DOI
Burić, Maja; Radovanović, Voja On renormalizability of the quantum electrodynamics on noncommutative space. (English) Zbl 1114.81318 Dragovich, B.(ed.) et al., Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1–12, 2002. Belgrade: Institute of Physics (ISBN 86-82441-13-6). Sveske Fizičkikh Nauka. Series A: Conferences 16, 1, 431-445 (2003). Reviewer: Zoran Rakić (Beograd) MSC: 81T15 81T75 81T13 PDFBibTeX XMLCite \textit{M. Burić} and \textit{V. Radovanović}, in: Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1--12, 2002. Belgrade: Institute of Physics. 431--445 (2003; Zbl 1114.81318) Full Text: arXiv
Zachos, Cosmas K.; Curtright, Thomas L. Deformation quantifization of Nambu mechanics. (English) Zbl 1086.53108 Kursunoglu, Behram N. (ed.) et al., Short distance behavior of fundamental interactions. 31st Coral Gables conference on high energy physics and cosmology, Fort Lauderdale, Florida, USA, December 11–14, 2002. Melville, NY: AIP, American Institue of Physics (ISBN 0-7354-0139-X/hbk). AIP Conf. Proc. 672, 183-196 (2003). Reviewer: Nikolai Alexander Neumaier (Freiburg) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{C. K. Zachos} and \textit{T. L. Curtright}, AIP Conf. Proc. 672, 183--196 (2003; Zbl 1086.53108) Full Text: arXiv
Wang, Ning; Wadati, Miki Noncommutative extension of \(\overline\partial\)-dressing method. (English) Zbl 1059.35113 J. Phys. Soc. Japan 72, No. 6, 1366-1373 (2003). MSC: 35Q51 35Q53 81Q05 PDFBibTeX XMLCite \textit{N. Wang} and \textit{M. Wadati}, J. Phys. Soc. Japan 72, No. 6, 1366--1373 (2003; Zbl 1059.35113) Full Text: DOI
Namsrai, Kh. Noncommutative field theory. (English) Zbl 1042.81092 Int. J. Theor. Phys. 42, No. 11, 2609-2704 (2003). Reviewer: Marian Munteanu (Iaşi) MSC: 81T75 81R60 81S10 PDFBibTeX XMLCite \textit{Kh. Namsrai}, Int. J. Theor. Phys. 42, No. 11, 2609--2704 (2003; Zbl 1042.81092) Full Text: DOI
Yoshioka, Akira; Matsumoto, Toshio Path integral for star exponential functions of quadratic forms. (English) Zbl 1039.53105 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 330-340 (2003). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D55 81S40 PDFBibTeX XMLCite \textit{A. Yoshioka} and \textit{T. Matsumoto}, in: Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6--15, 2002. Sofia: Coral Press Scientific Publishing. 330--340 (2003; Zbl 1039.53105)
Botta Cantcheff, M.; Minces, Pablo Duality between non-commutative Yang-Mills-Chern-Simons and non-Abelian self-dual models. (English) Zbl 1009.81043 Phys. Lett., B 557, No. 3-4, 283-289 (2003). MSC: 81T13 81T75 81S10 PDFBibTeX XMLCite \textit{M. Botta Cantcheff} and \textit{P. Minces}, Phys. Lett., B 557, No. 3--4, 283--289 (2003; Zbl 1009.81043) Full Text: DOI arXiv
Langmann, Edwin Interacting fermions on non-commutative spaces: Exactly solvable quantum field theories in \(2n+1\) dimensions. (English) Zbl 1010.81082 Nucl. Phys., B 654, No. 3, 404-426 (2003). MSC: 81T75 81S10 81V70 PDFBibTeX XMLCite \textit{E. Langmann}, Nucl. Phys., B 654, No. 3, 404--426 (2003; Zbl 1010.81082) Full Text: DOI arXiv
Dragovich, Branko; Sazdović, Branislav Real, \(p\)-adic and adelic noncommutative scalar solitons. (English) Zbl 1071.35539 Dragovich, B. (ed.) et al., Proceedings of the summer school in modern mathematical physics, Sokobanja, Yugoslavia, August 13–25, 2001. Belgrade: Institute of Physics (ISBN 86-82441-09-8). Sveske Fiz. Nauka, Ser. A, Conf. 3, 283-296 (2002). Reviewer: Zoran Rakić (Beograd) MSC: 35Q51 53D55 81T99 PDFBibTeX XMLCite \textit{B. Dragovich} and \textit{B. Sazdović}, in: Proceedings of the summer school in modern mathematical physics, Sokobanja, Yugoslavia, August 13--25, 2001. Belgrade: Institute of Physics. 283--296 (2002; Zbl 1071.35539) Full Text: arXiv
Yoshioka, Akira Contact Weyl manifold over a symplectic manifold. (English) Zbl 1045.53057 Morimoto, Tohru (ed.) et al., Lie groups, geometric structures and differential equations—one hundred years after Sophus Lie. Based on the international conference on the occasion of the centennial after the death of Sophus Lie (1842–1899), Kyoto and Nara, Japan, December 1999. Tokyo: Mathematical Society of Japan (ISBN 4-931469-21-3/hbk). Adv. Stud. Pure Math. 37, 459-493 (2002). Reviewer: Charles B. Thomas (Cambridge) MSC: 53D55 53D10 53D05 PDFBibTeX XMLCite \textit{A. Yoshioka}, Adv. Stud. Pure Math. 37, 459--493 (2002; Zbl 1045.53057)
Arratia, O.; Martín, M. A.; del Olmo, M. A. Deformation on phase space. (English) Zbl 1028.81033 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 63-81 (2002). Reviewer: Mauro Spera (Brescia) MSC: 81S10 53D55 81R05 22E70 81-02 81R50 81S30 PDFBibTeX XMLCite \textit{O. Arratia} et al., RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 1, 63--81 (2002; Zbl 1028.81033) Full Text: arXiv
Hirshfeld, Allen Current aspects of deformation quantization. (English) Zbl 1011.53061 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 3rd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 14-23, 2001. Sofia: Coral Press Scientific Publishing. 290-303 (2002). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D55 81S10 81T70 PDFBibTeX XMLCite \textit{A. Hirshfeld}, in: Proceedings of the 3rd international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 14--23, 2001. Sofia: Coral Press Scientific Publishing. 290--303 (2002; Zbl 1011.53061)
Daoud, M.; El Kinani, E. H. The Moyal bracket in the coherent states framework. (English) Zbl 1028.81032 J. Phys. A, Math. Gen. 35, No. 11, 2639-2648 (2002). Reviewer: Mauro Spera (Brescia) MSC: 81S10 53D55 81R30 PDFBibTeX XMLCite \textit{M. Daoud} and \textit{E. H. El Kinani}, J. Phys. A, Math. Gen. 35, No. 11, 2639--2648 (2002; Zbl 1028.81032) Full Text: DOI arXiv
Deriglazov, A. A. Quantum mechanics on noncommutative plane and sphere from constrained systems. (English) Zbl 0989.81050 Phys. Lett., B 530, No. 1-4, 235-243 (2002). MSC: 81R60 70H45 PDFBibTeX XMLCite \textit{A. A. Deriglazov}, Phys. Lett., B 530, No. 1--4, 235--243 (2002; Zbl 0989.81050) Full Text: DOI arXiv
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Singular systems of exponential functions. (English) Zbl 1049.53063 Maeda, Yoshiaki (ed.) et al., Noncommutative differential geometry and its applications to physics. Proceedings of the workshop, Shonan, Japan, May 31–June 4, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6930-0/hbk). Math. Phys. Stud. 23, 169-186 (2001). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 53D17 46F20 PDFBibTeX XMLCite \textit{H. Omori} et al., Math. Phys. Stud. 23, 169--186 (2001; Zbl 1049.53063)
Tosiek, Jaromir The Weyl-Wigner-Moyal formalism: quantum mechanics on curved phase spaces. (English) Zbl 1044.53062 Gràcia Sabaté, Xavier (ed.) et al., Proceedings of the IX fall workshop on geometry and physics, Vilanova i la Geltrú, Spain, July 6–8, 2000. Madrid: Real Sociedad Matemática Española (ISBN 84-923818-5-X/pbk). Publ. R. Soc. Mat. Esp. 3, 195-211 (2001). Reviewer: Domenico Fiorenza (Roma) MSC: 53D55 PDFBibTeX XMLCite \textit{J. Tosiek}, Publ. R. Soc. Mat. Esp. 3, 195--211 (2001; Zbl 1044.53062)
Dubois-Violette, Michel; Kriegl, Andreas; Maeda, Yoshiaki; Michor, Peter W. Smooth \(\star\)-algebras. (English) Zbl 1026.46062 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and string theory. Proceedings of the international workshop, Keio Univ., Yokohama, Japan, March 16-22, 2001. Kyoto: Progress of Theoretical Physics, Prog. Theor. Phys., Suppl. 144, 54-78 (2001). MSC: 46L65 46L05 46L85 PDFBibTeX XMLCite \textit{M. Dubois-Violette} et al., Prog. Theor. Phys., Suppl. 144, 54--78 (2001; Zbl 1026.46062) Full Text: arXiv
Martín, I.; Ovalle, J.; Restuccia, A. D-branes, symplectomorphisms and noncommutative gauge theories. (English) Zbl 1006.81064 Nucl. Phys., B, Proc. Suppl. 102-103, 169-175 (2001). MSC: 81T30 81T75 81T13 81S40 PDFBibTeX XMLCite \textit{I. Martín} et al., Nucl. Phys., B, Proc. Suppl. 102--103, 169--175 (2001; Zbl 1006.81064) Full Text: DOI arXiv
Bieliavsky, Pierre; Massar, Marc Oscillatory integral formulae for left-invariant star products on a class of Lie groups. (English) Zbl 0998.53059 Lett. Math. Phys. 58, No. 2, 115-128 (2001). Reviewer: R.Gelca (Lubboc) MSC: 53D55 81S10 22E27 46T12 PDFBibTeX XMLCite \textit{P. Bieliavsky} and \textit{M. Massar}, Lett. Math. Phys. 58, No. 2, 115--128 (2001; Zbl 0998.53059) Full Text: DOI
Kapustin, Anton; Kuznetsov, Alexander; Orlov, Dmitri Noncommutative instantons and twistor transform. (English) Zbl 0989.81127 Commun. Math. Phys. 221, No. 2, 385-432 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 81T75 81R25 58B34 32L99 58D27 81T30 81S10 81R10 46L55 PDFBibTeX XMLCite \textit{A. Kapustin} et al., Commun. Math. Phys. 221, No. 2, 385--432 (2001; Zbl 0989.81127) Full Text: DOI arXiv Backlinks: MO
Schwarz, Albert Theta functions on noncommutative tori. (English) Zbl 1032.53082 Lett. Math. Phys. 58, No. 1, 81-90 (2001). Reviewer: Nikolai Alexander Neumaier (Frankfurt am Main) MSC: 53D55 58B34 17B37 PDFBibTeX XMLCite \textit{A. Schwarz}, Lett. Math. Phys. 58, No. 1, 81--90 (2001; Zbl 1032.53082) Full Text: DOI arXiv
Aoyama, Shogo; Masuda, Takahiro The fuzzy Kähler coset space with the Darboux coordinates. (English) Zbl 1034.53095 Phys. Lett., B 521, No. 3-4, 376-382 (2001). MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{S. Aoyama} and \textit{T. Masuda}, Phys. Lett., B 521, No. 3--4, 376--382 (2001; Zbl 1034.53095) Full Text: DOI arXiv
Guralnik, Z.; Jackiw, R.; Pi, S. Y.; Polychronakos, A. P. Testing non-commutative QED, constructing non-commutative MHD. (English) Zbl 0971.81188 Phys. Lett., B 517, No. 3-4, 450-456 (2001). MSC: 81V10 81T75 81T05 76W05 PDFBibTeX XMLCite \textit{Z. Guralnik} et al., Phys. Lett., B 517, No. 3--4, 450--456 (2001; Zbl 0971.81188) Full Text: DOI arXiv
Wess, J. Non-abelian gauge theories on non-commutative spaces. (English) Zbl 1007.81063 Commun. Math. Phys. 219, No. 1, 247-257 (2001). Reviewer: Akira Asada (Takarazuka) MSC: 81T75 81T13 58B34 PDFBibTeX XMLCite \textit{J. Wess}, Commun. Math. Phys. 219, No. 1, 247--257 (2001; Zbl 1007.81063) Full Text: DOI
Saito, Takesi Noncommutative spacetimes—a short introductory review. (English) Zbl 1006.81089 Gravit. Cosmol. 6, No. 2(22), 130-136 (2000). MSC: 81T75 81S10 81-01 53D50 53D55 81R60 PDFBibTeX XMLCite \textit{T. Saito}, Gravit. Cosmol. 6, No. 2(22), 130--136 (2000; Zbl 1006.81089)
Tlili, Mohamed Houssem \(*\)-representations of semisimple compact Lie groups. (Représentation \(*\) des groupes de Lie compacts semi simples.) (French) Zbl 0997.22009 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 9, No. 3, 551-564 (2000). Reviewer: Do Ngoc Diep (Hanoi) MSC: 22E45 53D50 PDFBibTeX XMLCite \textit{M. H. Tlili}, Ann. Fac. Sci. Toulouse, Math. (6) 9, No. 3, 551--564 (2000; Zbl 0997.22009) Full Text: DOI Numdam EuDML
Dimakis, A.; Müller-Hoissen, F. Moyal deformation, Seiberg-Witten maps, and integrable models. (English) Zbl 0983.53064 Lett. Math. Phys. 54, No. 2, 123-135 (2000). MSC: 53D55 81S10 35Q58 53C07 PDFBibTeX XMLCite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, Lett. Math. Phys. 54, No. 2, 123--135 (2000; Zbl 0983.53064) Full Text: DOI arXiv
Moffat, J. W. Noncommutative quantum gravity. (English) Zbl 0961.83030 Phys. Lett., B 491, No. 3-4, 345-352 (2000). MSC: 83C65 81T75 81V17 83C45 PDFBibTeX XMLCite \textit{J. W. Moffat}, Phys. Lett., B 491, No. 3--4, 345--352 (2000; Zbl 0961.83030) Full Text: DOI arXiv
Moreno, Carlos; Pereira da Silva, José António Star-products, spectral analysis, and hyperfunctions. (English) Zbl 1004.53066 Dito, Giuseppe (ed.) et al., Conférence Moshé Flato 1999: Quantization, deformations, and symmetries, Dijon, France, September 5-8, 1999. Volume II. Dordrecht: Kluwer Academic Publishers. Math. Phys. Stud. 22, 211-224 (2000). Reviewer: Robert A.Wolak (Kraków) MSC: 53D55 81S30 58J15 PDFBibTeX XMLCite \textit{C. Moreno} and \textit{J. A. Pereira da Silva}, Math. Phys. Stud. 22, 211--224 (2000; Zbl 1004.53066)
Dubin, D. A.; Hennings, M. A.; Smith, T. B. Mathematical aspects of Weyl quantization and phase. (English) Zbl 0981.81002 Singapore: World Scientific. xiv, 546 p. (2000). Reviewer: N.P.Landsman (Amsterdam) MSC: 81-02 81V80 81S10 81P15 46N50 46L65 47N50 53D55 PDFBibTeX XMLCite \textit{D. A. Dubin} et al., Mathematical aspects of Weyl quantization and phase. Singapore: World Scientific (2000; Zbl 0981.81002)
Omori, H. Introduction to noncommutative differential geometry. (English) Zbl 0989.53059 Lobachevskii J. Math. 4, 13-46 (1999). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 58B32 81S10 81R50 PDFBibTeX XMLCite \textit{H. Omori}, Lobachevskii J. Math. 4, 13--46 (1999; Zbl 0989.53059) Full Text: EuDML EMIS
Merkulov, S. A. Deformation quantization of the \(n\)-tuple point. (English) Zbl 0935.53039 Commun. Math. Phys. 205, No. 2, 369-375 (1999). Reviewer: Mircea Puta (Timişoara) MSC: 53D55 81S10 PDFBibTeX XMLCite \textit{S. A. Merkulov}, Commun. Math. Phys. 205, No. 2, 369--375 (1999; Zbl 0935.53039) Full Text: DOI arXiv
Bieliavsky, Pierre Symmetric spaces and star representations. (English) Zbl 0956.53056 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 71-82 (1999). Reviewer: A.Frydryszak (Wrocław) MSC: 53D55 81S10 53C35 PDFBibTeX XMLCite \textit{P. Bieliavsky}, Prog. Math. 172, 71--82 (1999; Zbl 0956.53056)
Maeda, Yoshiaki The Ovsienko product revised. (English) Zbl 0974.53519 RIMS Kokyuroku 1014, 134-138 (1997). MSC: 53D55 PDFBibTeX XMLCite \textit{Y. Maeda}, RIMS Kokyuroku 1014, 134--138 (1997; Zbl 0974.53519)