Magazev, A. A.; Popov, A. S.; Shirokov, I. V. Constructing invariant differential operators on homogeneous spaces using the star product. (English. Russian original) Zbl 07617509 Russ. Phys. J. 64, No. 10, 1783-1791 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 3-10 (2021). MSC: 81R10 53D55 17B45 14M17 81Q10 47A15 70H05 PDF BibTeX XML Cite \textit{A. A. Magazev} et al., Russ. Phys. J. 64, No. 10, 1783--1791 (2022; Zbl 07617509); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 3--10 (2021) Full Text: DOI OpenURL
Schmitt, Philipp; Schötz, Matthias Symmetry reduction of states. II: A non-commutative positivstellensatz for \(\mathbb{C} \mathbb{P}^n\). (English) Zbl 1501.46059 Linear Algebra Appl. 649, 326-353 (2022). MSC: 46L65 14P99 PDF BibTeX XML Cite \textit{P. Schmitt} and \textit{M. Schötz}, Linear Algebra Appl. 649, 326--353 (2022; Zbl 1501.46059) Full Text: DOI arXiv OpenURL
Klyuev, Daniil Twisted traces and positive forms on generalized \(q\)-Weyl algebras. (English) Zbl 07484045 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 009, 28 p. (2022). MSC: 17B37 53D55 81R10 PDF BibTeX XML Cite \textit{D. Klyuev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 009, 28 p. (2022; Zbl 07484045) Full Text: DOI arXiv OpenURL
Natividad, Laarni B.; Nable, Job A. Symbol correspondence for Euclidean systems. (English) Zbl 07636579 J. Geom. Symmetry Phys. 62, 67-84 (2021). MSC: 81S30 53D55 81R05 PDF BibTeX XML Cite \textit{L. B. Natividad} and \textit{J. A. Nable}, J. Geom. Symmetry Phys. 62, 67--84 (2021; Zbl 07636579) Full Text: DOI OpenURL
Korybut, Anatoly Star product for deformed oscillator algebra \(\mathsf{Aq}(2, \nu)\). (English) Zbl 1507.81128 J. Phys. A, Math. Theor. 54, No. 50, Article ID 505202, 21 p. (2021). MSC: 81S10 53D55 17B81 PDF BibTeX XML Cite \textit{A. Korybut}, J. Phys. A, Math. Theor. 54, No. 50, Article ID 505202, 21 p. (2021; Zbl 1507.81128) Full Text: DOI arXiv OpenURL
Škoda, Zoran Twisted exterior derivative for universal enveloping algebras \(\mathbf{I}\). (English) Zbl 07605419 Adamović, Dražen (ed.) et al., Lie groups, number theory, and vertex algebras. Representation theory XVI. Conference, Inter-University Center, Dubrovnik, Croatia, June 24–29, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 768, 305-319 (2021). MSC: 16S30 16S32 16T05 PDF BibTeX XML Cite \textit{Z. Škoda}, Contemp. Math. 768, 305--319 (2021; Zbl 07605419) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{M. Soloviev}, Integral Equations Oper. Theory 93, No. 5, Paper No. 52, 32 p. (2021; Zbl 1484.53117) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. B. Natividad} and \textit{J. A. Nable}, Geom. Integrability Quantization 22, 209--218 (2021; Zbl 1471.81058) Full Text: DOI OpenURL
Pflaum, Markus J.; Rudolph, Gerd; Schmidt, Matthias Deformation quantization and homological reduction of a lattice gauge model. (English) Zbl 1466.81046 Commun. Math. Phys. 382, No. 2, 1061-1109 (2021). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D55 20J05 81T25 81T13 81T18 81T70 46L05 46L10 81S30 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Commun. Math. Phys. 382, No. 2, 1061--1109 (2021; Zbl 1466.81046) Full Text: DOI arXiv Link OpenURL
Wu, Siye Representations of fermionic star product algebras and the projectively flat connection. (English) Zbl 1465.53093 J. Geom. Phys. 163, Article ID 104147, 17 p. (2021). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D55 53D50 15A75 15A66 PDF BibTeX XML Cite \textit{S. Wu}, J. Geom. Phys. 163, Article ID 104147, 17 p. (2021; Zbl 1465.53093) Full Text: DOI arXiv OpenURL
Barker, Laurence; Öğüt, İsmail Alperen Some deformations of the fibred biset category. (English) Zbl 1495.19002 Turk. J. Math. 44, No. 6, 2062-2072 (2020). Reviewer: Osman Mucuk (Kayseri) MSC: 19A22 16B50 PDF BibTeX XML Cite \textit{L. Barker} and \textit{İ. A. Öğüt}, Turk. J. Math. 44, No. 6, 2062--2072 (2020; Zbl 1495.19002) Full Text: DOI arXiv OpenURL
Cahen, Benjamin Formal deformations and principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) and \(\mathrm{SL}(2,\mathbb{C})\). (English) Zbl 07285971 Czech. Math. J. 70, No. 4, 935-951 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B10 17B20 17B56 22E46 53D55 PDF BibTeX XML Cite \textit{B. Cahen}, Czech. Math. J. 70, No. 4, 935--951 (2020; Zbl 07285971) Full Text: DOI OpenURL
Andreev, Vladimir A.; Man’ko, Margarita A.; Man’ko, Vladimir I. Quantizer-dequantizer operators as a tool for formulating the quantization procedure. (English) Zbl 1448.81387 Phys. Lett., A 384, No. 17, Article ID 126349, 7 p. (2020). MSC: 81S10 81S08 PDF BibTeX XML Cite \textit{V. A. Andreev} et al., Phys. Lett., A 384, No. 17, Article ID 126349, 7 p. (2020; Zbl 1448.81387) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Varshovi, Amir Abbass \(\star\)-cohomology, Connes-Chern characters, and anomalies in general translation-invariant noncommutative Yang-Mills. (English) Zbl 1451.81328 Rep. Math. Phys. 86, No. 2, 157-173 (2020). MSC: 81T13 81T50 19L10 81R05 14F42 PDF BibTeX XML Cite \textit{A. A. Varshovi}, Rep. Math. Phys. 86, No. 2, 157--173 (2020; Zbl 1451.81328) Full Text: DOI arXiv OpenURL
Esposito, Chiara; Kraft, Andreas; Waldmann, Stefan BRST reduction of quantum algebras with \(^*\)-involutions. (English) Zbl 1462.81114 Commun. Math. Phys. 378, No. 2, 1391-1416 (2020). Reviewer: Andrea Galasso (Taipei) MSC: 81S10 53D55 81T70 53D45 46K10 46L60 46L65 17B37 17B56 PDF BibTeX XML Cite \textit{C. Esposito} et al., Commun. Math. Phys. 378, No. 2, 1391--1416 (2020; Zbl 1462.81114) Full Text: DOI arXiv OpenURL
Kleshchev, Alexander; Muth, Robert Generalized Schur algebras. (English) Zbl 1457.16033 Algebra Number Theory 14, No. 2, 501-544 (2020). Reviewer: Daniel Simson (Toruń) MSC: 16T10 16G30 20C20 PDF BibTeX XML Cite \textit{A. Kleshchev} and \textit{R. Muth}, Algebra Number Theory 14, No. 2, 501--544 (2020; Zbl 1457.16033) Full Text: DOI arXiv OpenURL
Živković, Marko Multi-directed graph complexes and quasi-isomorphisms between them. I: Oriented graphs. (English) Zbl 1434.05156 High. Struct. 4, No. 1, 266-283 (2020). MSC: 05E16 05C20 53D55 53C15 PDF BibTeX XML Cite \textit{M. Živković}, High. Struct. 4, No. 1, 266--283 (2020; Zbl 1434.05156) Full Text: arXiv OpenURL
Martins, Alex Clésio Nunes; Klimov, Andrei B.; de Guise, Hubert Correspondence rules for Wigner functions over \(SU(3)/U(2)\). (English) Zbl 07630968 J. Phys. A, Math. Theor. 52, No. 28, Article ID 285202, 31 p. (2019). MSC: 81R05 81Q20 PDF BibTeX XML Cite \textit{A. C. N. Martins} et al., J. Phys. A, Math. Theor. 52, No. 28, Article ID 285202, 31 p. (2019; Zbl 07630968) Full Text: DOI arXiv OpenURL
Buring, R.; Kiselev, A. V. Formality morphism as the mechanism of \(\star\)-product associativity: how it works. (English) Zbl 1438.53125 Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22-43 (2019). Reviewer: O. Zhaliĭ (Kyïv) MSC: 53D55 46L65 53D17 PDF BibTeX XML Cite \textit{R. Buring} and \textit{A. V. Kiselev}, Zb. Pr. Inst. Mat. NAN Ukr. 16, No. 1, 22--43 (2019; Zbl 1438.53125) Full Text: arXiv OpenURL
Hagger, Raffael A product expansion for Toeplitz operators on the Fock space. (English) Zbl 1456.47007 Proc. Am. Math. Soc. 147, No. 11, 4823-4833 (2019). MSC: 47B35 46L65 30H20 PDF BibTeX XML Cite \textit{R. Hagger}, Proc. Am. Math. Soc. 147, No. 11, 4823--4833 (2019; Zbl 1456.47007) Full Text: DOI arXiv Link OpenURL
Kraus, Daniela; Roth, Oliver; Schötz, Matthias; Waldmann, Stefan A convergent star product on the Poincaré disc. (English) Zbl 1422.32027 J. Funct. Anal. 277, No. 8, 2734-2771 (2019). MSC: 32Q05 32Q15 46K10 46L65 PDF BibTeX XML Cite \textit{D. Kraus} et al., J. Funct. Anal. 277, No. 8, 2734--2771 (2019; Zbl 1422.32027) Full Text: DOI arXiv OpenURL
Strakhov, A. A.; Man’ko, V. I. Quadratic tomography star product algebra and its classical limit. (English) Zbl 1412.53110 Int. J. Theor. Phys. 58, No. 2, 543-557 (2019). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{A. A. Strakhov} and \textit{V. I. Man'ko}, Int. J. Theor. Phys. 58, No. 2, 543--557 (2019; Zbl 1412.53110) Full Text: DOI arXiv OpenURL
Mortazavi, A.; Davvaz, Bijan Star projective and star injective \(H_v\)-modules. (English) Zbl 1459.16007 J. Indones. Math. Soc. 24, No. 1, 79-94 (2018). MSC: 16E99 18G99 20N20 PDF BibTeX XML Cite \textit{A. Mortazavi} and \textit{B. Davvaz}, J. Indones. Math. Soc. 24, No. 1, 79--94 (2018; Zbl 1459.16007) Full Text: DOI OpenURL
Yoshioka, Akira Star products, star exponentials, and star functions. (English) Zbl 1423.46096 Diagana, Toka (ed.) et al., Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29–30, 2016. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 439-451 (2018). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{A. Yoshioka}, in: Mathematical structures and applications. In honor of Mahouton Norbert Hounkonnou. Selected papers based on the conference, Cotonou, Benin, October 29--30, 2016. Cham: Springer. 439--451 (2018; Zbl 1423.46096) Full Text: DOI OpenURL
Mudrov, A. Star product on complex sphere \(\mathbb {S}^{2n}\). (English) Zbl 1400.17008 Lett. Math. Phys. 108, No. 6, 1443-1454 (2018). MSC: 17B37 17B10 53D55 PDF BibTeX XML Cite \textit{A. Mudrov}, Lett. Math. Phys. 108, No. 6, 1443--1454 (2018; Zbl 1400.17008) Full Text: DOI arXiv OpenURL
Soloviev, M. A. Dirac’s magnetic monopole and the Kontsevich star product. (English) Zbl 1386.81146 J. Phys. A, Math. Theor. 51, No. 9, Article ID 095205, 20 p. (2018). MSC: 81V10 78A99 81S10 53D55 14D06 17B63 PDF BibTeX XML Cite \textit{M. A. Soloviev}, J. Phys. A, Math. Theor. 51, No. 9, Article ID 095205, 20 p. (2018; Zbl 1386.81146) Full Text: DOI arXiv OpenURL
Vaziri, Yaser; Ghadiri, Mansour Schanuel’s lemma, the snake lemma, and product and direct sum in \(H_v\)-modules. (English) Zbl 1424.16111 Turk. J. Math. 41, No. 5, 1121-1132 (2017). MSC: 16Y99 16E05 20N20 PDF BibTeX XML Cite \textit{Y. Vaziri} and \textit{M. Ghadiri}, Turk. J. Math. 41, No. 5, 1121--1132 (2017; Zbl 1424.16111) Full Text: DOI OpenURL
Esposito, Chiara; Schnitzer, Jonas; Waldmann, Stefan A universal construction of universal deformation formulas, Drinfeld twists and their positivity. (English) Zbl 1425.17019 Pac. J. Math. 291, No. 2, 319-358 (2017). MSC: 17B37 53D55 81R50 PDF BibTeX XML Cite \textit{C. Esposito} et al., Pac. J. Math. 291, No. 2, 319--358 (2017; Zbl 1425.17019) Full Text: DOI arXiv OpenURL
Meljanac, Stjepan; Meljanac, Daniel; Pachoł, Anna; Pikutić, Danijel Remarks on simple interpolation between Jordanian twists. (English) Zbl 1370.81094 J. Phys. A, Math. Theor. 50, No. 26, Article ID 265201, 11 p. (2017). MSC: 81R60 81R25 83A05 53D55 16T05 14D21 14D15 PDF BibTeX XML Cite \textit{S. Meljanac} et al., J. Phys. A, Math. Theor. 50, No. 26, Article ID 265201, 11 p. (2017; Zbl 1370.81094) Full Text: DOI arXiv Link OpenURL
Esposito, Chiara; Stapor, Paul; Waldmann, Stefan Convergence of the Gutt star product. (English) Zbl 1375.53110 J. Lie Theory 27, No. 2, 579-622 (2017). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46H05 46A03 16S30 PDF BibTeX XML Cite \textit{C. Esposito} et al., J. Lie Theory 27, No. 2, 579--622 (2017; Zbl 1375.53110) Full Text: arXiv Link OpenURL
La Fuente-Gravy, Laurent The group of Hamiltonian automorphisms of a star product. (English) Zbl 1413.53131 Math. Phys. Anal. Geom. 19, No. 3, Paper No. 17, 21 p. (2016). MSC: 53D55 22E65 57N20 PDF BibTeX XML Cite \textit{L. La Fuente-Gravy}, Math. Phys. Anal. Geom. 19, No. 3, Paper No. 17, 21 p. (2016; Zbl 1413.53131) Full Text: DOI arXiv OpenURL
Gouba, Laure A comparative review of four formulations of noncommutative quantum mechanics. (English) Zbl 1344.81005 Int. J. Mod. Phys. A 31, No. 19, Article ID 1630025, 15 p. (2016). MSC: 81-02 81R60 53D55 17B37 81S40 81S30 PDF BibTeX XML Cite \textit{L. Gouba}, Int. J. Mod. Phys. A 31, No. 19, Article ID 1630025, 15 p. (2016; Zbl 1344.81005) Full Text: DOI arXiv OpenURL
Odzijewicz, A.; Wawreniuk, E. Classical and quantum Kummer shape algebras. (English) Zbl 1353.81077 J. Phys. A, Math. Theor. 49, No. 26, Article ID 265202, 33 p. (2016). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 81R12 81Q10 81R30 53D55 81S10 81V55 PDF BibTeX XML Cite \textit{A. Odzijewicz} and \textit{E. Wawreniuk}, J. Phys. A, Math. Theor. 49, No. 26, Article ID 265202, 33 p. (2016; Zbl 1353.81077) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Butin, F. Hochschild cohomology of cubic surfaces. (English) Zbl 1363.53076 Acta Math. Hung. 145, No. 2, 263-282 (2015). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 13P10 13D03 PDF BibTeX XML Cite \textit{F. Butin}, Acta Math. Hung. 145, No. 2, 263--282 (2015; Zbl 1363.53076) Full Text: DOI arXiv OpenURL
Burgos, M.; Márquez-García, A. C.; Patrício, P. On mappings preserving the sharp and star orders. (English) Zbl 1339.47050 Linear Algebra Appl. 483, 268-292 (2015). Reviewer: Janko Marovt (Maribor) MSC: 47B48 47C15 47B49 15A09 PDF BibTeX XML Cite \textit{M. Burgos} et al., Linear Algebra Appl. 483, 268--292 (2015; Zbl 1339.47050) Full Text: DOI OpenURL
Kovačević, Domagoj; Meljanac, Stjepan; Samsarov, Andjelo; Škoda, Zoran Hermitian realizations of \(\kappa\)-Minkowski space-time. (English) Zbl 1310.81099 Int. J. Mod. Phys. A 30, No. 3, Article ID 1550019, 26 p. (2015). MSC: 81R60 81R05 81Q70 81Q35 53D55 PDF BibTeX XML Cite \textit{D. Kovačević} et al., Int. J. Mod. Phys. A 30, No. 3, Article ID 1550019, 26 p. (2015; Zbl 1310.81099) Full Text: DOI arXiv OpenURL
Błaszak, Maciej; Domański, Ziemowit Natural star-products on symplectic manifolds and related quantum mechanical operators. (English) Zbl 1343.81120 Ann. Phys. 344, 29-42 (2014). MSC: 81Q70 53D55 81Q35 81S10 53Z05 81T05 PDF BibTeX XML Cite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 344, 29--42 (2014; Zbl 1343.81120) Full Text: DOI arXiv OpenURL
Dumas, François; Royer, Emmanuel Poisson structures and star products on quasimodular forms. (English) Zbl 1362.17041 Algebra Number Theory 8, No. 5, 1127-1149 (2014). MSC: 17B63 11F25 11F11 16W25 PDF BibTeX XML Cite \textit{F. Dumas} and \textit{E. Royer}, Algebra Number Theory 8, No. 5, 1127--1149 (2014; Zbl 1362.17041) Full Text: DOI arXiv OpenURL
Soloviev, M. A. Algebras with convergent star products and their representations in Hilbert spaces. (English) Zbl 1292.81085 J. Math. Phys. 54, No. 7, 073517, 16 p. (2013). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 53D55 81T75 17B15 PDF BibTeX XML Cite \textit{M. A. Soloviev}, J. Math. Phys. 54, No. 7, 073517, 16 p. (2013; Zbl 1292.81085) Full Text: DOI arXiv OpenURL
Mudrov, Andrey On dynamical adjoint functor. (English) Zbl 1331.17015 Appl. Categ. Struct. 21, No. 5, 449-468 (2013). Reviewer: Benjamin Cahen (Metz) MSC: 17B37 81R50 17B10 53D55 PDF BibTeX XML Cite \textit{A. Mudrov}, Appl. Categ. Struct. 21, No. 5, 449--468 (2013; Zbl 1331.17015) Full Text: DOI arXiv OpenURL
Durhuus, Bergfinnur; Sitarz, Andrzej Star product realizations of \(\kappa \)-Minkowski space. (English) Zbl 1282.46063 J. Noncommut. Geom. 7, No. 3, 605-645 (2013). MSC: 46L65 53D55 81R60 PDF BibTeX XML Cite \textit{B. Durhuus} and \textit{A. Sitarz}, J. Noncommut. Geom. 7, No. 3, 605--645 (2013; Zbl 1282.46063) Full Text: DOI arXiv OpenURL
Cahen, Benjamin A contraction of the principal series by Berezin-Weyl quantization. (English) Zbl 1283.81094 Rocky Mt. J. Math. 43, No. 2, 417-441 (2013). MSC: 81S10 22E46 22E45 81R05 53D55 PDF BibTeX XML Cite \textit{B. Cahen}, Rocky Mt. J. Math. 43, No. 2, 417--441 (2013; Zbl 1283.81094) Full Text: DOI arXiv Euclid OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Rossi, Carlo A. The explicit equivalence between the standard and the logarithmic star product for Lie algebras. II. (Une équivalence explicite entre les produit-étoilés standard et logarithmique pour une algèbre de Lie. II.) (English. French summary) Zbl 1285.53070 C. R., Math., Acad. Sci. Paris 350, No. 15-16, 745-748 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 PDF BibTeX XML Cite \textit{C. A. Rossi}, C. R., Math., Acad. Sci. Paris 350, No. 15--16, 745--748 (2012; Zbl 1285.53070) Full Text: DOI OpenURL
Sitarz, Andrzej On the geometry of \(\kappa \)-deformation. (English) Zbl 1251.83038 Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261011, 10 p. (2012). MSC: 83C65 53D55 22D25 81R60 83A05 PDF BibTeX XML Cite \textit{A. Sitarz}, Int. J. Geom. Methods Mod. Phys. 9, No. 6, 1261011, 10 p. (2012; Zbl 1251.83038) Full Text: DOI OpenURL
Rossi, Carlo A. The explicit equivalence between the standard and the logarithmic star product for Lie algebras. I. (Une équivalence explicite entre les produit-étoilés standard et logarithmique pour une algèbre de Lie. I.) (English. French summary) Zbl 1271.53075 C. R., Math., Acad. Sci. Paris 350, No. 13-14, 661-664 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 17B99 PDF BibTeX XML Cite \textit{C. A. Rossi}, C. R., Math., Acad. Sci. Paris 350, No. 13--14, 661--664 (2012; Zbl 1271.53075) Full Text: DOI arXiv OpenURL
Willwacher, Thomas; Calaque, Damien Formality of cyclic cochains. (English) Zbl 1251.53058 Adv. Math. 231, No. 2, 624-650 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53C15 18G55 16E45 PDF BibTeX XML Cite \textit{T. Willwacher} and \textit{D. Calaque}, Adv. Math. 231, No. 2, 624--650 (2012; Zbl 1251.53058) Full Text: DOI arXiv OpenURL
Meljanac, Stjepan; Škoda, Zoran; Svrtan, Dragutin Exponential formulas and Lie algebra type star products. (English) Zbl 1248.81092 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 013, 15 p. (2012). MSC: 81R60 16S30 16S32 83C45 83C65 PDF BibTeX XML Cite \textit{S. Meljanac} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 013, 15 p. (2012; Zbl 1248.81092) Full Text: DOI arXiv OpenURL
Cho, Cheol-Hyun; Lee, Sangwook Potentials of homotopy cyclic \(A_\infty\)-algebras. (English) Zbl 1271.53080 Homology Homotopy Appl. 14, No. 1, 203-220 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D17 PDF BibTeX XML Cite \textit{C.-H. Cho} and \textit{S. Lee}, Homology Homotopy Appl. 14, No. 1, 203--220 (2012; Zbl 1271.53080) Full Text: DOI arXiv OpenURL
Engliš, Miroslav; Upmeier, Harald Toeplitz quantization and asymptotic expansions for real bounded symmetric domains. (English) Zbl 1226.32010 Math. Z. 268, No. 3-4, 931-967 (2011). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 32M15 46E22 47B35 53D55 PDF BibTeX XML Cite \textit{M. Engliš} and \textit{H. Upmeier}, Math. Z. 268, No. 3--4, 931--967 (2011; Zbl 1226.32010) Full Text: DOI OpenURL
Meljanac, S.; Samsarov, A. Scalar field theory on \(\kappa \)-Minkowski space-time and translation and Lorentz invariance. (English) Zbl 1214.81285 Int. J. Mod. Phys. A 26, No. 7-8, 1439-1468 (2011). MSC: 81T75 81T10 16T05 53D55 PDF BibTeX XML Cite \textit{S. Meljanac} and \textit{A. Samsarov}, Int. J. Mod. Phys. A 26, No. 7--8, 1439--1468 (2011; Zbl 1214.81285) Full Text: DOI arXiv OpenURL
Buchholz, Detlev; Lechner, Gandalf; Summers, Stephen J. Warped convolutions, Rieffel deformations and the construction of quantum field theories. (English) Zbl 1227.46043 Commun. Math. Phys. 304, No. 1, 95-123 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 46L65 81T75 81T40 53D55 46L60 PDF BibTeX XML Cite \textit{D. Buchholz} et al., Commun. Math. Phys. 304, No. 1, 95--123 (2011; Zbl 1227.46043) Full Text: DOI arXiv OpenURL
Borowiec, Andrzej; Pachol, Anna \(\kappa\)-Minkowski spacetimes and DSR algebras: fresh look and old problems. (English) Zbl 1219.81159 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 086, 31 p. (2010). MSC: 81R50 81R60 81T75 83C65 16T05 17B37 46L65 53D55 PDF BibTeX XML Cite \textit{A. Borowiec} and \textit{A. Pachol}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 086, 31 p. (2010; Zbl 1219.81159) Full Text: DOI arXiv EuDML OpenURL
Aniello, P.; Ibort, A.; Man’ko, V. I.; Marmo, G. Remarks on the star product of functions on finite and compact groups. (English) Zbl 1227.81211 Phys. Lett., A 373, No. 4, 401-408 (2009). MSC: 81S10 53D55 17B63 17B15 22D10 20C15 20C30 PDF BibTeX XML Cite \textit{P. Aniello} et al., Phys. Lett., A 373, No. 4, 401--408 (2009; Zbl 1227.81211) Full Text: DOI arXiv Link OpenURL
Daszkiewicz, Marcin; Lukierski, Jerzy; Woronowicz, Mariusz \(\kappa \)-deformed oscillators, the choice of star product and free \(\kappa \)-deformed quantum fields. (English) Zbl 1191.81120 J. Phys. A, Math. Theor. 42, No. 35, Article ID 355201, 18 p. (2009). Reviewer: Saeid Jafari (Copenhagen) MSC: 81Q50 81T70 17B37 PDF BibTeX XML Cite \textit{M. Daszkiewicz} et al., J. Phys. A, Math. Theor. 42, No. 35, Article ID 355201, 18 p. (2009; Zbl 1191.81120) Full Text: DOI arXiv OpenURL
Bauer, Wolfram Berezin–Toeplitz quantization and composition formulas. (English) Zbl 1169.47017 J. Funct. Anal. 256, No. 10, 3107-3142 (2009). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47B35 42B30 46L65 PDF BibTeX XML Cite \textit{W. Bauer}, J. Funct. Anal. 256, No. 10, 3107--3142 (2009; Zbl 1169.47017) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Chakrabortty, Shankhadeep; Kumar, Alok; Jain, Sachin \(W_{\infty }3\)-algebra. (English) Zbl 1245.81041 J. High Energy Phys. 2008, No. 9, Paper No. 091, 8 p. (2008). MSC: 81R10 81T30 PDF BibTeX XML Cite \textit{S. Chakrabortty} et al., J. High Energy Phys. 2008, No. 9, Paper No. 091, 8 p. (2008; Zbl 1245.81041) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Moreno, Carlos; Teles, Joana Invariant star products on nondegenerate triangular Lie bialgebras over formal power series rings. (English) Zbl 1147.81016 J. Phys. A, Math. Theor. 41, No. 19, Article ID 194016, 13 p. (2008). Reviewer: Benjamin Cahen (Metz) MSC: 81R50 53D55 81S10 17B37 16W30 PDF BibTeX XML Cite \textit{C. Moreno} and \textit{J. Teles}, J. Phys. A, Math. Theor. 41, No. 19, Article ID 194016, 13 p. (2008; Zbl 1147.81016) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Ben Amar, N.; Hfaiedh, M. Explicit study of Lie group convolution algebras as deformation quantizations. (English) Zbl 1193.53182 Russ. J. Math. Phys. 14, No. 3, 250-261 (2007). Reviewer: Maurice de Gosson (Wien) MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{N. Ben Amar} and \textit{M. Hfaiedh}, Russ. J. Math. Phys. 14, No. 3, 250--261 (2007; Zbl 1193.53182) Full Text: DOI OpenURL
Beiser, Svea; Römer, Hartmann; Waldmann, Stefan Convergence of the Wick star product. (English) Zbl 1203.53089 Commun. Math. Phys. 272, No. 1, 25-52 (2007). MSC: 53D55 46L65 81R30 81S10 PDF BibTeX XML Cite \textit{S. Beiser} et al., Commun. Math. Phys. 272, No. 1, 25--52 (2007; Zbl 1203.53089) Full Text: DOI arXiv OpenURL
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Non-formal deformation quantization of Fréchet-Poisson algebras: the Heisenberg Lie algebra case. (English) Zbl 1215.53081 Paycha, S. (ed.) et al., Geometric and topological methods for quantum field theory. Proceedings of the summer school, Villa de Leyva, Colombia, July 11–29, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4062-7/pbk). Contemporary Mathematics 434, 99-123 (2007). MSC: 53D55 17B63 46L65 PDF BibTeX XML Cite \textit{H. Omori} et al., Contemp. Math. 434, 99--123 (2007; Zbl 1215.53081) OpenURL
Heller, Jakob G.; Neumaier, Nikolai; Waldmann, Stefan A \(C^{*}\)-algebraic model for locally noncommutative spacetimes. (English) Zbl 1127.53075 Lett. Math. Phys. 80, No. 3, 257-272 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L65 46L87 81R60 PDF BibTeX XML Cite \textit{J. G. Heller} et al., Lett. Math. Phys. 80, No. 3, 257--272 (2007; Zbl 1127.53075) Full Text: DOI arXiv OpenURL
Man’ko, Olga V.; Man’ko, Vladimir I.; Marmo, Giuseppe; Vitale, Patrizia Star products, duality and double Lie algebras. (English) Zbl 1236.81140 Phys. Lett., A 360, No. 4-5, 522-532 (2006). MSC: 81S10 17B81 53D55 81P68 PDF BibTeX XML Cite \textit{O. V. Man'ko} et al., Phys. Lett., A 360, No. 4--5, 522--532 (2006; Zbl 1236.81140) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{N. Mebarki} et al., EJTP, Electron. J. Theor. Phys. 3, No. 12, 37--45 (2006; Zbl 1135.83312) OpenURL
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 PDF BibTeX XML Cite \textit{V. Ginzburg} and \textit{T. Schedler}, Mosc. Math. J. 6, No. 3, 431--459 (2006; Zbl 1125.17008) Full Text: arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Karolinsky, Eugene; Stolin, Alexander; Tarasov, Vitaly Dynamical Yang-Baxter equation and quantization of certain Poisson brackets. (English) Zbl 1103.17004 Fuchs, Jürgen (ed.) et al., Noncommutative geometry and representation theory in mathematical physics. Satellite conference to the fourth European congress of mathematics, July 5–10, 2004, Karlstad, Sweden. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3718-4/pbk). Contemporary Mathematics 391, 175-182 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 17B37 17B35 53D55 81R50 58B32 PDF BibTeX XML Cite \textit{E. Karolinsky} et al., Contemp. Math. 391, 175--182 (2005; Zbl 1103.17004) OpenURL
Mesref, L. Maps between deformed and ordinary gauge fields. (English) Zbl 1104.81065 Int. J. Theor. Phys. 44, No. 9, 1549-1557 (2005). MSC: 81R50 17B37 14J80 PDF BibTeX XML Cite \textit{L. Mesref}, Int. J. Theor. Phys. 44, No. 9, 1549--1557 (2005; Zbl 1104.81065) Full Text: DOI arXiv OpenURL
Grigor’ev, O. N.; Karasev, M. V. Dynamical equations for the quantum product on a symplectic space in affine coordinates. (English. Russian original) Zbl 1101.53059 Math. Notes 77, No. 1, 39-47 (2005); translation from Mat. Zametki 77, No. 1, 42-52 (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L65 PDF BibTeX XML Cite \textit{O. N. Grigor'ev} and \textit{M. V. Karasev}, Math. Notes 77, No. 1, 39--47 (2005; Zbl 1101.53059); translation from Mat. Zametki 77, No. 1, 42--52 (2005) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Melrose, Richard Star products and local line bundles. (English) Zbl 1061.47064 Ann. Inst. Fourier 54, No. 5, 1581-1600 (2004). MSC: 47L80 53D55 PDF BibTeX XML Cite \textit{R. Melrose}, Ann. Inst. Fourier 54, No. 5, 1581--1600 (2004; Zbl 1061.47064) Full Text: DOI arXiv Numdam EuDML OpenURL
Matsubara, Keizo; Stenmark, Mårten Invariant star products on \(S^2\) and the canonical trace. (English) Zbl 1070.53058 Lett. Math. Phys. 70, No. 2, 109-120 (2004). Reviewer: Nikolai Alexander Neumaier (Freiburg) MSC: 53D55 58J22 PDF BibTeX XML Cite \textit{K. Matsubara} and \textit{M. Stenmark}, Lett. Math. Phys. 70, No. 2, 109--120 (2004; Zbl 1070.53058) Full Text: DOI arXiv OpenURL
Andler, Martin; Sahi, Siddhartha; Torossian, Charles Convolution of invariant distributions: proof of the Kashiwara-Vergne conjecture. (English) Zbl 1059.22008 Lett. Math. Phys. 69, Spec. Iss., 177-203 (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E30 16S30 53D55 16S32 53D17 PDF BibTeX XML Cite \textit{M. Andler} et al., Lett. Math. Phys. 69, 177--203 (2004; Zbl 1059.22008) Full Text: DOI arXiv OpenURL
Młotkowski, Wojciech \(\Lambda\)-free probability. (English) Zbl 1052.46050 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 1, 27-41 (2004). MSC: 46L54 46L09 43A65 PDF BibTeX XML Cite \textit{W. Młotkowski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 1, 27--41 (2004; Zbl 1052.46050) Full Text: DOI OpenURL
Duval, C.; El Gradechi, A. M.; Ovsienko, V. Projectively and conformally invariant star-products. (English) Zbl 1048.53063 Commun. Math. Phys. 244, No. 1, 3-27 (2004). Reviewer: Jan Chrastina (Brno) MSC: 53D55 53D17 17B63 81S10 PDF BibTeX XML Cite \textit{C. Duval} et al., Commun. Math. Phys. 244, No. 1, 3--27 (2004; Zbl 1048.53063) Full Text: DOI arXiv OpenURL
Waldmann, Stefan Deformation quantization: observable algebras, states and representation theory. (English) Zbl 1083.53087 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, 83-107 (2003). Reviewer: Zoran Rakić (Beograd) MSC: 53D55 53-02 81S10 47L55 PDF BibTeX XML Cite \textit{S. Waldmann}, in: Proceedings of the 2nd summer school in modern mathematical physics, Kopaonik, Yugoslavia, September 1--12, 2002. Belgrade: Institute of Physics. 83--107 (2003; Zbl 1083.53087) Full Text: arXiv OpenURL
Ginot, Gregory; Halbout, Gilles A formality theorem for Poisson manifolds. (English) Zbl 1066.53145 Lett. Math. Phys. 66, No. 1-2, 37-64 (2003). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D55 17B55 16E40 18D50 16S80 PDF BibTeX XML Cite \textit{G. Ginot} and \textit{G. Halbout}, Lett. Math. Phys. 66, No. 1--2, 37--64 (2003; Zbl 1066.53145) Full Text: DOI OpenURL
Hirshfeld, Allen C.; Henselder, Peter Star products and quantum groups in quantum mechanics and field theory. (English) Zbl 1044.81070 Ann. Phys. 308, No. 1, 311-328 (2003). MSC: 81S10 53D55 81R50 17B37 16W30 PDF BibTeX XML Cite \textit{A. C. Hirshfeld} and \textit{P. Henselder}, Ann. Phys. 308, No. 1, 311--328 (2003; Zbl 1044.81070) Full Text: DOI OpenURL
Dayi, Ömer F. Noncommutative Maxwell-Chern-Simons theory, duality and a new noncommutative Chern-Simons theory in \(d=3\). (English) Zbl 1094.81526 Phys. Lett., B 560, No. 3-4, 239-244 (2003). MSC: 81T13 81T75 81T05 PDF BibTeX XML Cite \textit{Ö. F. Dayi}, Phys. Lett., B 560, No. 3--4, 239--244 (2003; Zbl 1094.81526) Full Text: DOI arXiv OpenURL
Arnal, Didier; Masmoudi, Mohsen Construction of a tangential star-product on the regular part of \(\text{su}(2)\). (Construction d’un produit-étoile tangentiel sur la partie régulière de \(\text{su}(2)\).) (French) Zbl 1171.53347 Ital. J. Pure Appl. Math. 11, 33-49 (2002). MSC: 53D55 17B37 PDF BibTeX XML Cite \textit{D. Arnal} and \textit{M. Masmoudi}, Ital. J. Pure Appl. Math. 11, 33--49 (2002; Zbl 1171.53347) OpenURL
Astashkevich, Alexander; Brylinski, Ranee Non-local equivariant star product on the minimal nilpotent orbit. (English) Zbl 1010.22021 Adv. Math. 171, No. 1, 86-102 (2002). Reviewer: Richard Bödi (Adliswil) MSC: 22E46 17B30 PDF BibTeX XML Cite \textit{A. Astashkevich} and \textit{R. Brylinski}, Adv. Math. 171, No. 1, 86--102 (2002; Zbl 1010.22021) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Yabyai, Mohammed; El Beggar, Meryem Star representation for \(SU(1,n)\). (English) Zbl 1019.22009 Bajo, Ignacio (ed.) et al., Proceedings of the 1st colloquium on Lie theory and applications, Universidade de Vigo, Vigo, Spain, July 17-22, 2000. Vigo: Universidade de Vigo, Servicio de Publicacións. Colecc. Congr. 35, 171-182 (2002). Reviewer: A.A.Bogush (Minsk) MSC: 22E46 22E60 22F05 PDF BibTeX XML Cite \textit{M. Yabyai} and \textit{M. El Beggar}, in: Proceedings of the 1st colloquium on Lie theory and applications, Universidade de Vigo, Vigo, Spain, July 17--22, 2000. Vigo: Universidade de Vigo, Servicio de Publicacións. 171--182 (2002; Zbl 1019.22009) OpenURL
Halbout, Gilles Deformation quantization, methods and applications. (English) Zbl 1015.53060 Halbout, Gilles (ed.), Deformation quantization. Proceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, France, May 31-June 2, 2001. Berlin: de Gruyter. IRMA Lect. Math. Theor. Phys. 1, 1-8 (2002). Reviewer: Mircea Puta (Timişoara) MSC: 53D55 17B37 16E40 PDF BibTeX XML Cite \textit{G. Halbout}, IRMA Lect. Math. Theor. Phys. 1, 1--8 (2002; Zbl 1015.53060) OpenURL
Andler, Martin; Dvorsky, Alexander; Sahi, Siddhartha Kontsevich quantization and invariant distributions on Lie groups. (English) Zbl 1009.22020 Ann. Sci. Éc. Norm. Supér. (4) 35, No. 3, 371-390 (2002). Reviewer: Andreas Cap (Wien) MSC: 22E60 53D55 17B62 53D17 PDF BibTeX XML Cite \textit{M. Andler} et al., Ann. Sci. Éc. Norm. Supér. (4) 35, No. 3, 371--390 (2002; Zbl 1009.22020) Full Text: DOI arXiv Numdam EuDML OpenURL
Arnone, Stefano; Kubyshin, Yuri A.; Morris, Tim R.; Tighe, John F. Gauge-invariant regularisation via SU\((N|N)\). (English) Zbl 1022.81041 Int. J. Mod. Phys. A 17, No. 17, 2283-2329 (2002). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 81T13 22E70 17B81 81R40 17A70 PDF BibTeX XML Cite \textit{S. Arnone} et al., Int. J. Mod. Phys. A 17, No. 17, 2283--2329 (2002; Zbl 1022.81041) Full Text: DOI arXiv OpenURL
Koikawa, Takao Role of the imaginary part in the Moyal quantization. (English) Zbl 1041.53055 Prog. Theor. Phys. 106, No. 6, 1297-1300 (2001). Reviewer: Razvan Gelca (Lubbock) MSC: 53D55 46L65 81S10 37K60 PDF BibTeX XML Cite \textit{T. Koikawa}, Prog. Theor. Phys. 106, No. 6, 1297--1300 (2001; Zbl 1041.53055) Full Text: DOI arXiv OpenURL
Waldmann, Stefan Deformation of Hermitian vector bundles and non-commutative field theory. (English) Zbl 1012.81029 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, 167-175 (2001). MSC: 81S10 53D55 81T75 PDF BibTeX XML Cite \textit{S. Waldmann}, Prog. Theor. Phys., Suppl. 144, 167--175 (2001; Zbl 1012.81029) OpenURL
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 PDF BibTeX XML Cite \textit{M. Dubois-Violette} et al., Prog. Theor. Phys., Suppl. 144, 54--78 (2001; Zbl 1026.46062) Full Text: arXiv OpenURL
Arnal, D.; Tlili, M. H. Prequantizations and the Berezin star product on \(GL(n,\mathbb{C})\). (Préquantifications et produit star de Berezin sur \(GL(n,\mathbb{C})\).) (French) Zbl 0996.53057 Séminaire de mathématique de Luxembourg. Luxembourg: Centre Universitaire de Luxembourg. Trav. Math. 12, 21-39 (2001). Reviewer: Benjamin Cahen (Metz) MSC: 53D50 53D55 32M15 22E45 PDF BibTeX XML Cite \textit{D. Arnal} and \textit{M. H. Tlili}, Trav. Math. 12, 21--39 (2001; Zbl 0996.53057) OpenURL
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 PDF BibTeX XML Cite \textit{A. Schwarz}, Lett. Math. Phys. 58, No. 1, 81--90 (2001; Zbl 1032.53082) Full Text: DOI arXiv OpenURL
Vasiliev, M. A. Cubic interactions of bosonic higher spin gauge fields in AdS\(_5\). (English) Zbl 0988.81071 Nucl. Phys., B 616, No. 1-2, 106-162 (2001). MSC: 81T13 81T05 PDF BibTeX XML Cite \textit{M. A. Vasiliev}, Nucl. Phys., B 616, No. 1--2, 106--162 (2001; Zbl 0988.81071) Full Text: DOI arXiv OpenURL
Halbout, Gilles Formality conjectures and deformation. (English) Zbl 1036.53069 Lett. Math. Phys. 56, No. 2, 127-140 (2001). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D55 19D55 16E40 17B70 18G55 13D03 PDF BibTeX XML Cite \textit{G. Halbout}, Lett. Math. Phys. 56, No. 2, 127--140 (2001; Zbl 1036.53069) Full Text: DOI OpenURL
Vacaru, S. I. Gauge and Einstein gravity from non-abelian gauge models on noncommutative spaces. (English) Zbl 0972.83047 Phys. Lett., B 498, No. 1-2, 74-82 (2001). MSC: 83C65 81T13 81T75 83C45 81S10 PDF BibTeX XML Cite \textit{S. I. Vacaru}, Phys. Lett., B 498, No. 1--2, 74--82 (2001; Zbl 0972.83047) Full Text: DOI arXiv OpenURL
Kosiński, P.; Maślanka, P.; Lukierski, J. Local field theory on \(\kappa \)-Minkowski space, star products and noncommutative translations. (English) Zbl 1050.81573 Czech. J. Phys. 50, No. 11, 1283-1290 (2000). MSC: 81T05 81T75 PDF BibTeX XML Cite \textit{P. Kosiński} et al., Czech. J. Phys. 50, No. 11, 1283--1290 (2000; Zbl 1050.81573) Full Text: DOI arXiv OpenURL