Kuzmin, Alexey; Ostrovskyi, Vasyl; Proskurin, Danylo; Weber, Moritz; Yakymiv, Roman On \(q\)-tensor products of Cuntz algebras. (English) Zbl 1494.46058 Int. J. Math. 33, No. 2, Article ID 2250017, 46 p. (2022). MSC: 46L35 46L80 46L65 47A67 81R10 PDF BibTeX XML Cite \textit{A. Kuzmin} et al., Int. J. Math. 33, No. 2, Article ID 2250017, 46 p. (2022; Zbl 1494.46058) Full Text: DOI arXiv
Murro, Simone; van de Ven, Christiaan J. F. Injective tensor products in strict deformation quantization. (English) Zbl 07462167 Math. Phys. Anal. Geom. 25, No. 1, Paper No. 2, 20 p. (2022). MSC: 46L65 81R15 46L06 46M05 82B20 PDF BibTeX XML Cite \textit{S. Murro} and \textit{C. J. F. van de Ven}, Math. Phys. Anal. Geom. 25, No. 1, Paper No. 2, 20 p. (2022; Zbl 07462167) Full Text: DOI arXiv
Kuzmin, Alexey; Turowska, Lyudmila Classification of irrational \(\Theta\)-deformed CAR \(C^*\)-algebras. (English) Zbl 1493.46074 Münster J. Math. 14, No. 2, 559-583 (2021). MSC: 46L05 46L65 PDF BibTeX XML Cite \textit{A. Kuzmin} and \textit{L. Turowska}, Münster J. Math. 14, No. 2, 559--583 (2021; Zbl 1493.46074) Full Text: DOI arXiv
de Santiago, Rolando; Hayes, Ben; Hoff, Daniel J.; Sinclair, Thomas Maximal rigid subalgebras of deformations and \(L^2\)-cohomology. (English) Zbl 1491.46068 Anal. PDE 14, No. 7, 2269-2306 (2021). MSC: 46L65 46L10 37A55 46L40 PDF BibTeX XML Cite \textit{R. de Santiago} et al., Anal. PDE 14, No. 7, 2269--2306 (2021; Zbl 1491.46068) Full Text: DOI arXiv
Steeger, Jeremy; Feintzeig, Benjamin Extensions of bundles of \(C^\ast\)-algebras. (English) Zbl 1512.46048 Rev. Math. Phys. 33, No. 8, Article ID 2150025, 33 p. (2021). MSC: 46L65 17B63 81R10 81S99 PDF BibTeX XML Cite \textit{J. Steeger} and \textit{B. Feintzeig}, Rev. Math. Phys. 33, No. 8, Article ID 2150025, 33 p. (2021; Zbl 1512.46048) Full Text: DOI arXiv
Grützmann, Melchior; Michel, Jean-Philippe; Xu, Ping Weyl quantization of degree 2 symplectic graded manifolds. (English. French summary) Zbl 1481.53105 J. Math. Pures Appl. (9) 154, 67-107 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 53D17 53D18 53D55 81S10 16W70 15A66 17B63 53B05 PDF BibTeX XML Cite \textit{M. Grützmann} et al., J. Math. Pures Appl. (9) 154, 67--107 (2021; Zbl 1481.53105) Full Text: DOI arXiv
Stiénon, Mathieu; Xu, Ping Atiyah classes and Kontsevich-Duflo type theorem for dg manifolds. (English) Zbl 1467.58003 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 63-110 (2021). Reviewer: Andrew Bruce (Esch-sur-Alzette) MSC: 58A50 16E45 18N40 46L65 53D55 53D17 PDF BibTeX XML Cite \textit{M. Stiénon} and \textit{P. Xu}, Banach Cent. Publ. 123, 63--110 (2021; Zbl 1467.58003) Full Text: DOI
Chapon, François; Chhaibi, Reda Quantum \(SL_2\), infinite curvature and Pitman’s \(2M-X\) theorem. (English) Zbl 1469.46057 Probab. Theory Relat. Fields 179, No. 3-4, 835-888 (2021). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 46L65 58B32 60B99 PDF BibTeX XML Cite \textit{F. Chapon} and \textit{R. Chhaibi}, Probab. Theory Relat. Fields 179, No. 3--4, 835--888 (2021; Zbl 1469.46057) Full Text: DOI arXiv
Landsman, Klaas; Moretti, Valter; van de Ven, Christiaan J. F. Strict deformation quantization of the state space of \(M_k(\mathbb{C})\) with applications to the Curie-Weiss model. (English) Zbl 1469.46069 Rev. Math. Phys. 32, No. 10, Article ID 2050031, 54 p. (2020). MSC: 46L65 81R30 82B20 PDF BibTeX XML Cite \textit{K. Landsman} et al., Rev. Math. Phys. 32, No. 10, Article ID 2050031, 54 p. (2020; Zbl 1469.46069) Full Text: DOI arXiv
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
Măntoiu, Marius Modulation spaces and representations for Rieffel’s quantization. (English) Zbl 1442.46053 Houston J. Math. 45, No. 4, 1169-1186 (2019). MSC: 46L65 46L55 47G30 35S05 PDF BibTeX XML Cite \textit{M. Măntoiu}, Houston J. Math. 45, No. 4, 1169--1186 (2019; Zbl 1442.46053) Full Text: arXiv Link
Banerjee, Tathagata; Meyer, Ralf Noncommutative coarse geometry. (English) Zbl 1441.46050 J. Noncommut. Geom. 13, No. 3, 1117-1149 (2019). MSC: 46L65 46L89 PDF BibTeX XML Cite \textit{T. Banerjee} and \textit{R. Meyer}, J. Noncommut. Geom. 13, No. 3, 1117--1149 (2019; Zbl 1441.46050) Full Text: DOI arXiv
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
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars Addendum to: “On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups”. (English) Zbl 1441.46051 Int. J. Math. 30, No. 11, Article ID 1992002, 8 p. (2019). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., Int. J. Math. 30, No. 11, Article ID 1992002, 8 p. (2019; Zbl 1441.46051) Full Text: DOI
van Nuland, Teun D. H. Quantization and the resolvent algebra. (English) Zbl 1432.46052 J. Funct. Anal. 277, No. 8, 2815-2838 (2019). MSC: 46L65 46L60 81R15 PDF BibTeX XML Cite \textit{T. D. H. van Nuland}, J. Funct. Anal. 277, No. 8, 2815--2838 (2019; Zbl 1432.46052) Full Text: DOI arXiv
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
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
Losev, Ivan Representation theory of quantized Gieseker varieties. I. (English) Zbl 1441.16020 Kac, Victor G. (ed.) et al., Lie groups, geometry, and representation theory. A tribute to the life and work of Bertram Kostant. Cham: Birkhäuser. Prog. Math. 326, 273-314 (2018). MSC: 16G99 16G20 53D20 53D55 PDF BibTeX XML Cite \textit{I. Losev}, Prog. Math. 326, 273--314 (2018; Zbl 1441.16020) Full Text: DOI arXiv
Kuzmin, Alexey; Pochekai, Nikolay Faithfulness of the Fock representation of the \(C^*\)-algebra generated by \(q_{ij}\)-commuting isometries. (English) Zbl 1413.46057 J. Oper. Theory 80, No. 1, 77-93 (2018). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L35 46L65 46K10 PDF BibTeX XML Cite \textit{A. Kuzmin} and \textit{N. Pochekai}, J. Oper. Theory 80, No. 1, 77--93 (2018; Zbl 1413.46057) Full Text: DOI arXiv
Pridham, J. P. Deformation quantisation for unshifted symplectic structures on derived Artin stacks. (English) Zbl 1423.14018 Sel. Math., New Ser. 24, No. 4, 3027-3059 (2018). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14A22 53D55 14D23 PDF BibTeX XML Cite \textit{J. P. Pridham}, Sel. Math., New Ser. 24, No. 4, 3027--3059 (2018; Zbl 1423.14018) Full Text: DOI arXiv
Shoikhet, Boris An \(L_\infty \) algebra structure on polyvector fields. (English) Zbl 1393.53092 Sel. Math., New Ser. 24, No. 2, 1691-1728 (2018). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L65 PDF BibTeX XML Cite \textit{B. Shoikhet}, Sel. Math., New Ser. 24, No. 2, 1691--1728 (2018; Zbl 1393.53092) Full Text: DOI arXiv
Schötz, Matthias; Waldmann, Stefan Convergent star products for projective limits of Hilbert spaces. (English) Zbl 1394.46003 J. Funct. Anal. 274, No. 5, 1381-1423 (2018). Reviewer: Sven-Ake Wegner (Middlesbrough) MSC: 46A13 46L65 PDF BibTeX XML Cite \textit{M. Schötz} and \textit{S. Waldmann}, J. Funct. Anal. 274, No. 5, 1381--1423 (2018; Zbl 1394.46003) Full Text: DOI arXiv
Losev, Ivan Wall-crossing functors for quantized symplectic resolutions: perversity and partial Ringel dualities. (English) Zbl 1398.16013 Pure Appl. Math. Q. 13, No. 2, 247-289 (2017). MSC: 16G99 16G20 53D20 53D55 PDF BibTeX XML Cite \textit{I. Losev}, Pure Appl. Math. Q. 13, No. 2, 247--289 (2017; Zbl 1398.16013) Full Text: DOI arXiv
Yamashita, Makoto Monodromy of the Gauss-Manin connection for deformation by group cocycles. (English) Zbl 1393.19004 J. Noncommut. Geom. 11, No. 4, 1237-1265 (2017). Reviewer: Ralf Meyer (Göttingen) MSC: 19D55 46L65 PDF BibTeX XML Cite \textit{M. Yamashita}, J. Noncommut. Geom. 11, No. 4, 1237--1265 (2017; Zbl 1393.19004) Full Text: DOI arXiv
Yashinski, Allan The Gauss-Manin connection for the cyclic homology of smooth deformations, and noncommutative tori. (English) Zbl 1382.46057 J. Noncommut. Geom. 11, No. 2, 581-639 (2017). Reviewer: Albert Sheu (Lawrence) MSC: 46L87 46L80 46L65 16E40 PDF BibTeX XML Cite \textit{A. Yashinski}, J. Noncommut. Geom. 11, No. 2, 581--639 (2017; Zbl 1382.46057) Full Text: DOI
de Gosson, Maurice The Wigner transform. (English) Zbl 1372.81009 Advanced Textbooks in Mathematics. Hackensack, NJ: World Scientific (ISBN 978-1-78634-308-6/hbk; 978-1-78634-309-3/pbk). xx, 229 p. (2017). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81-02 81S30 00A79 46L65 81S10 53D55 32W25 35S05 46F10 46N50 37N20 PDF BibTeX XML Cite \textit{M. de Gosson}, The Wigner transform. Hackensack, NJ: World Scientific (2017; Zbl 1372.81009) Full Text: DOI
De Sadeleer, Liebrecht Deformations of spectral triples and their quantum isometry groups via monoidal equivalences. (English) Zbl 1367.58003 Lett. Math. Phys. 107, No. 4, 673-715 (2017). Reviewer: Yong Wang (Changchun) MSC: 58B34 46L65 81R15 PDF BibTeX XML Cite \textit{L. De Sadeleer}, Lett. Math. Phys. 107, No. 4, 673--715 (2017; Zbl 1367.58003) Full Text: DOI arXiv
Deser, Andreas Star products on graded manifolds and \(\alpha'\)-corrections to double field theory. (English) Zbl 1442.81057 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 – July 4, 2015. Basel: Birkhäuser/Springer. Trends Math., 311-320 (2016). MSC: 81T30 81R05 81R10 53D55 81T13 53D17 53D18 46L65 PDF BibTeX XML Cite \textit{A. Deser}, in: Geometric methods in physics. XXXIV workshop, Białowieża, Poland, June 28 -- July 4, 2015. Basel: Birkhäuser/Springer. 311--320 (2016; Zbl 1442.81057) Full Text: DOI arXiv
Gurevich, Dimitri; Saponov, Pavel Derivatives in noncommutative calculus and deformation property of quantum algebras. (English) Zbl 1369.46062 J. Noncommut. Geom. 10, No. 4, 1215-1241 (2016). MSC: 46L65 46L87 81T75 PDF BibTeX XML Cite \textit{D. Gurevich} and \textit{P. Saponov}, J. Noncommut. Geom. 10, No. 4, 1215--1241 (2016; Zbl 1369.46062) Full Text: DOI arXiv
Braden, Tom; Licata, Anthony; Proudfoot, Nicholas; Webster, Ben [Losev, Ivan] Quantizations of conical symplectic resolutions. (English) Zbl 1360.53001 Astérisque 384. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-845-9/pbk). xii, 179 p. (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53-02 53D55 14E15 17B10 17B63 16G99 PDF BibTeX XML Cite \textit{T. Braden} et al., Quantizations of conical symplectic resolutions. Paris: Société Mathématique de France (SMF) (2016; Zbl 1360.53001)
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 PDF BibTeX XML Cite \textit{A. Andersson}, J. Math. Phys. 57, No. 12, 122104, 18 p. (2016; Zbl 1357.81017) Full Text: DOI arXiv Link
Hawkins, Eli Quantization of Planck’s constant. (English) Zbl 1350.53107 J. Symplectic Geom. 14, No. 2, 587-655 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 46L65 PDF BibTeX XML Cite \textit{E. Hawkins}, J. Symplectic Geom. 14, No. 2, 587--655 (2016; Zbl 1350.53107) Full Text: DOI arXiv
Yoshioka, Akira; Kanazawa, Tomoyo Weyl manifold: a quantized symplectic manifold. (English) Zbl 1359.46062 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 17th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5–10, 2015. Sofia: Avangard Prima. Geometry, Integrability and Quantization, 392-401 (2016). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{A. Yoshioka} and \textit{T. Kanazawa}, in: Proceedings of the 17th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 5--10, 2015. Sofia: Avangard Prima. 392--401 (2016; Zbl 1359.46062) Full Text: Euclid
Tikaradze, Akaki Hochschild cohomology of deformation quantizations over \(\mathbb{Z}/p^n\mathbb{Z}\). (English) Zbl 1352.16015 Algebr. Represent. Theory 19, No. 1, 209-214 (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 16E40 16S80 16H05 PDF BibTeX XML Cite \textit{A. Tikaradze}, Algebr. Represent. Theory 19, No. 1, 209--214 (2016; Zbl 1352.16015) Full Text: DOI arXiv
Bieliavsky, Pierre; Gayral, Victor; Neshveyev, Sergey; Tuset, Lars On deformations of \(C^\ast\)-algebras by actions of Kählerian Lie groups. (English) Zbl 1354.46065 Int. J. Math. 27, No. 3, Article ID 1650023, 25 p. (2016); addendum ibid. 30, No. 11, Article ID 1992002, 8 p. (2019). MSC: 46L65 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., Int. J. Math. 27, No. 3, Article ID 1650023, 25 p. (2016; Zbl 1354.46065) Full Text: DOI arXiv
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
Hoff, Daniel J. Von Neumann algebras of equivalence relations with nontrivial one-cohomology. (English) Zbl 1352.46058 J. Funct. Anal. 270, No. 4, 1501-1536 (2016). MSC: 46L10 46L65 22D25 PDF BibTeX XML Cite \textit{D. J. Hoff}, J. Funct. Anal. 270, No. 4, 1501--1536 (2016; Zbl 1352.46058) Full Text: DOI arXiv
Banerjee, Tathagata Coarse geometry for noncommutative spaces. (English) Zbl 1375.46003 Göttingen: Univ. Göttingen (Diss.). iii, 63 p. (2015). MSC: 46-02 46L65 46L89 PDF BibTeX XML Cite \textit{T. Banerjee}, Coarse geometry for noncommutative spaces. Göttingen: Univ. Göttingen (Diss.) (2015; Zbl 1375.46003) Full Text: Link Link
Yoshioka, Akira; Kanazawa, Tomoyo Star functions: examples and applications. (English) Zbl 1350.53112 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 16th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6–11, 2014. Sofia: Avangard Prima. 312-326 (2015). MSC: 53D55 46L65 PDF BibTeX XML Cite \textit{A. Yoshioka} and \textit{T. Kanazawa}, in: Proceedings of the 16th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6--11, 2014. Sofia: Avangard Prima. 312--326 (2015; Zbl 1350.53112) Full Text: DOI
Goswami, Debashish; Joardar, Soumalya Deformation by dual unitary cocycles and generalized fixed point algebra for quantum group actions. (English) Zbl 1355.46058 Bhattacharyya, Tirthankar (ed.) et al., Operator algebras and mathematical physics. 24th international workshop in operator theory and its applications, IWOTA, Bangalore, India, December 16–20, 2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-18181-3/hbk; 978-3-319-18182-0/ebook). Operator Theory: Advances and Applications 247, 57-67 (2015). MSC: 46L65 46L89 81R50 PDF BibTeX XML Cite \textit{D. Goswami} and \textit{S. Joardar}, Oper. Theory: Adv. Appl. 247, 57--67 (2015; Zbl 1355.46058) Full Text: DOI
Berra-Montiel, Jasel; Molgado, Alberto; Rojas, Efraín Deformation quantization of the Pais-Uhlenbeck fourth order oscillator. (English) Zbl 1343.81155 Ann. Phys. 362, 298-310 (2015). MSC: 81S30 70H50 53D55 46L65 PDF BibTeX XML Cite \textit{J. Berra-Montiel} et al., Ann. Phys. 362, 298--310 (2015; Zbl 1343.81155) Full Text: DOI arXiv
Ćaćić, Branimir A reconstruction theorem for Connes-Landi deformations of commutative spectral triples. (English) Zbl 1329.58002 J. Geom. Phys. 98, 82-109 (2015). MSC: 58B34 46L65 46L87 81R60 PDF BibTeX XML Cite \textit{B. Ćaćić}, J. Geom. Phys. 98, 82--109 (2015; Zbl 1329.58002) Full Text: DOI arXiv
Neshveyev, Sergey; Yamashita, Makoto Twisting the \(q\)-deformations of compact semisimple Lie groups. (English) Zbl 1333.46059 J. Math. Soc. Japan 67, No. 2, 637-662 (2015). MSC: 46L65 17B37 18D10 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{M. Yamashita}, J. Math. Soc. Japan 67, No. 2, 637--662 (2015; Zbl 1333.46059) Full Text: DOI arXiv Euclid
Kasprzak, Paweł Rieffel deformation of tensor functor and braided quantum groups. (English) Zbl 1321.46072 Commun. Math. Phys. 337, No. 2, 1035-1051 (2015). MSC: 46L65 PDF BibTeX XML Cite \textit{P. Kasprzak}, Commun. Math. Phys. 337, No. 2, 1035--1051 (2015; Zbl 1321.46072) Full Text: DOI arXiv
De Commer, Kenny; Koelink, Erik A \(q\)-Hankel transform associated to the quantum linking groupoid for the quantum \(\mathrm{SU}(2)\) and \(\mathrm{E}(2)\) groups. (English) Zbl 1326.33025 Proc. Am. Math. Soc. 143, No. 6, 2515-2526 (2015). Reviewer: S. Moskaliuk (Kyiv) MSC: 33D80 33D45 46L65 81R50 PDF BibTeX XML Cite \textit{K. De Commer} and \textit{E. Koelink}, Proc. Am. Math. Soc. 143, No. 6, 2515--2526 (2015; Zbl 1326.33025) Full Text: DOI arXiv
de Goursac, Axel Fréchet quantum supergroups. (English) Zbl 1326.46056 Pac. J. Math. 273, No. 1, 169-195 (2015). MSC: 46L65 58A50 17B37 PDF BibTeX XML Cite \textit{A. de Goursac}, Pac. J. Math. 273, No. 1, 169--195 (2015; Zbl 1326.46056) Full Text: DOI arXiv
Dherin, Benoit; Wagemann, Friedrich Deformation quantization of Leibniz algebras. (English) Zbl 1362.17004 Adv. Math. 270, 21-48 (2015). Reviewer: José Manuel Casas Mirás (Pontevedra) MSC: 17A32 46L65 53D55 PDF BibTeX XML Cite \textit{B. Dherin} and \textit{F. Wagemann}, Adv. Math. 270, 21--48 (2015; Zbl 1362.17004) Full Text: DOI arXiv
Polesello, Pietro On quantizations of complex contact manifolds. (English) Zbl 1305.53087 Adv. Math. 268, 129-158 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 46L65 32W25 18D30 PDF BibTeX XML Cite \textit{P. Polesello}, Adv. Math. 268, 129--158 (2015; Zbl 1305.53087) Full Text: DOI arXiv
Neshveyev, Sergey Smooth crossed products of Rieffel’s deformations. (English) Zbl 1300.53078 Lett. Math. Phys. 104, No. 3, 361-371 (2014). MSC: 53D55 19D55 46L65 PDF BibTeX XML Cite \textit{S. Neshveyev}, Lett. Math. Phys. 104, No. 3, 361--371 (2014; Zbl 1300.53078) Full Text: DOI arXiv
Goswami, Debashish; Joardar, Soumalya Quantum isometry groups of noncommutative manifolds obtained by deformation using dual unitary 2-cocycles. (English) Zbl 1297.58004 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 076, 18 p. (2014). MSC: 58B34 46L65 81R50 PDF BibTeX XML Cite \textit{D. Goswami} and \textit{S. Joardar}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 076, 18 p. (2014; Zbl 1297.58004) Full Text: DOI arXiv EMIS
Petrov, Leonid The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. (English) Zbl 1297.05249 Mosc. Math. J. 14, No. 1, 121-160 (2014). MSC: 05E10 05E05 05C99 22E66 31C35 46L65 PDF BibTeX XML Cite \textit{L. Petrov}, Mosc. Math. J. 14, No. 1, 121--160 (2014; Zbl 1297.05249) Full Text: arXiv Link
Chen, Hou-Yi Reconstruction of a variety from \(\mathcal{O}[[\hbar]]\)-modules. (English) Zbl 1293.32012 Commun. Algebra 42, No. 11, 4874-4895 (2014). MSC: 32C38 46L65 53D55 PDF BibTeX XML Cite \textit{H.-Y. Chen}, Commun. Algebra 42, No. 11, 4874--4895 (2014; Zbl 1293.32012) Full Text: DOI arXiv
Much, A. Quantum mechanical effects from deformation theory. (English) Zbl 1322.81045 J. Math. Phys. 55, No. 2, 022302, 22 p. (2014). Reviewer: Madathum K. Viswanath (Chennai) MSC: 81Q10 81V17 46L65 PDF BibTeX XML Cite \textit{A. Much}, J. Math. Phys. 55, No. 2, 022302, 22 p. (2014; Zbl 1322.81045) Full Text: DOI arXiv
Neshveyev, Sergey; Tuset, Lars Deformation of \(C^\ast\)-algebras by cocycles on locally compact quantum groups. (English) Zbl 1317.46052 Adv. Math. 254, 454-496 (2014). Reviewer: Alcides Buss (Florianopolis) MSC: 46L65 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{L. Tuset}, Adv. Math. 254, 454--496 (2014; Zbl 1317.46052) Full Text: DOI arXiv
Tang, Xiang; Yao, Yi-Jun \(K\)-theory of equivariant quantization. (English) Zbl 1295.46050 J. Funct. Anal. 266, No. 2, 478-486 (2014). Reviewer: Do Ngoc Diep (Hanoi) MSC: 46L65 46L80 46L55 46L87 53D55 PDF BibTeX XML Cite \textit{X. Tang} and \textit{Y.-J. Yao}, J. Funct. Anal. 266, No. 2, 478--486 (2014; Zbl 1295.46050) Full Text: DOI arXiv
Jurić, Tajron; Meljanac, Stjepan; Štrajn, Rina Twists, realizations and Hopf algebroid structure of \({\kappa}\)-deformed phase space. (English) Zbl 1284.81175 Int. J. Mod. Phys. A 29, No. 5, Article ID 1450022, 32 p. (2014). MSC: 81R60 46L65 16T05 53D55 81S30 81R05 PDF BibTeX XML Cite \textit{T. Jurić} et al., Int. J. Mod. Phys. A 29, No. 5, Article ID 1450022, 32 p. (2014; Zbl 1284.81175) Full Text: DOI arXiv
Bieliavsky, Pierre; de Goursac, Axel; Spinnler, Florian Non-formal deformation quantization and star-exponential of the Poincaré group. (English) Zbl 1312.46063 Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24–30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0644-2/hbk; 978-3-0348-0645-9/ebook). Trends in Mathematics, 3-12 (2013). MSC: 46L65 22E45 17B37 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., in: Geometric methods in physics. XXXI workshop, Białowieża, Poland, June 24--30, 2012. Selected papers based on the presentations at the workshop. Basel: Birkhäuser/Springer. 3--12 (2013; Zbl 1312.46063) Full Text: DOI arXiv
Neshveyev, Sergey; Tuset, Lars Compact quantum groups and their representation categories. (English) Zbl 1316.46003 Cours Spécialisés (Paris) 20. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-777-3/hbk). iv, 169 p. (2013). Reviewer: Jörg Feldvoss (Mobile) MSC: 46-02 46L65 46L89 22E46 16T20 17B37 20G42 18D99 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{L. Tuset}, Compact quantum groups and their representation categories. Paris: Société Mathématique de France (SMF) (2013; Zbl 1316.46003)
Bhowmick, Jyotishman; Neshveyev, Sergey; Sangha, Amandip Deformation of operator algebras by Borel cocycles. (English) Zbl 1287.46052 J. Funct. Anal. 265, No. 6, 983-1001 (2013). MSC: 46L65 20F65 46L55 PDF BibTeX XML Cite \textit{J. Bhowmick} et al., J. Funct. Anal. 265, No. 6, 983--1001 (2013; Zbl 1287.46052) Full Text: DOI arXiv
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
Belmonte, Fabian; Lein, Max; Mantoiu, Marius Magnetic twisted actions on general abelian \(C^*\)-algebras. (English) Zbl 1274.46125 J. Oper. Theory 69, No. 1, 33-58 (2013). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 46L55 17B63 35S05 46L65 47L90 81S99 PDF BibTeX XML Cite \textit{F. Belmonte} et al., J. Oper. Theory 69, No. 1, 33--58 (2013; Zbl 1274.46125) Full Text: DOI arXiv
De Goursac, Axel Non-formal deformation quantization of abelian supergroups. (English) Zbl 1299.46076 Popescu, Ionel (ed.) et al., Progress in operator algebras, noncommutative geometry, and their applications. Proceedings of the 4th annual meeting of the European Noncommutative Geometry Network, Bucharest, Romania, April 25–30, 2011. Bucharest: The Theta Foundation (ISBN 978-606-8443-01-0). Theta Series in Advanced Mathematics 15, 61-73 (2012). MSC: 46L65 58A50 46E10 42B20 16T05 81T75 PDF BibTeX XML Cite \textit{A. De Goursac}, Theta Ser. Adv. Math. 15, 61--73 (2012; Zbl 1299.46076) Full Text: arXiv
Sako, Akifumi; Suzuki, Toshiya; Umetsu, Hiroshi Explicit formulas for noncommutative deformations of \(\mathbb{C}{P^N}\) and \(\mathbb{C}{H^N}\). (English) Zbl 1276.81084 J. Math. Phys. 53, No. 7, 073502, 16 p. (2012). MSC: 81S10 53D55 46L65 32Q15 PDF BibTeX XML Cite \textit{A. Sako} et al., J. Math. Phys. 53, No. 7, 073502, 16 p. (2012; Zbl 1276.81084) Full Text: DOI arXiv
Hannabuss, Keith C.; Mathai, Varghese Nonassociative strict deformation quantization of \(C^*\)-algebras and nonassociative torus bundles. (English) Zbl 1264.46049 Lett. Math. Phys. 102, No. 1, 107-123 (2012). MSC: 46L65 46L70 47L70 46M15 18D10 PDF BibTeX XML Cite \textit{K. C. Hannabuss} and \textit{V. Mathai}, Lett. Math. Phys. 102, No. 1, 107--123 (2012; Zbl 1264.46049) Full Text: DOI arXiv
Losev, Ivan Isomorphisms of quantizations via quantization of resolutions. (English) Zbl 1282.53070 Adv. Math. 231, No. 3-4, 1216-1270 (2012). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 53D55 53D20 17B63 PDF BibTeX XML Cite \textit{I. Losev}, Adv. Math. 231, No. 3--4, 1216--1270 (2012; Zbl 1282.53070) Full Text: DOI arXiv
Kashiwara, Masaki; Schapira, Pierre Deformation quantization modules. (English) Zbl 1260.32001 Astérisque 345. Paris: Société Mathématique de France (SMF). (ISBN 978-2-85629-345-4/pbk). xi, 147 p. (2012). Reviewer: Béchir Dali (Riyadh) MSC: 32-02 32C38 14F10 53D55 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{P. Schapira}, Deformation quantization modules. Paris: Société Mathématique de France (SMF). (2012; Zbl 1260.32001) Full Text: arXiv
Kasprzak, P. On a certain approach to quantum homogeneous spaces. (English) Zbl 1250.46048 Commun. Math. Phys. 313, No. 1, 237-255 (2012); erratum ibid. 335, No. 1, 545-546 (2015). MSC: 46L65 17B37 58B32 PDF BibTeX XML Cite \textit{P. Kasprzak}, Commun. Math. Phys. 313, No. 1, 237--255 (2012; Zbl 1250.46048) Full Text: DOI arXiv
Neshveyev, Sergey; Tuset, Lars Quantized algebras of functions on homogeneous spaces with Poisson stabilizers. (English) Zbl 1250.22017 Commun. Math. Phys. 312, No. 1, 223-250 (2012). Reviewer: Albert Sheu (Lawrence) MSC: 46L65 19K35 20G42 22E46 17B37 PDF BibTeX XML Cite \textit{S. Neshveyev} and \textit{L. Tuset}, Commun. Math. Phys. 312, No. 1, 223--250 (2012; Zbl 1250.22017) Full Text: DOI arXiv
Ballesteros, Ángel; Enciso, Alberto; Herranz, Francisco J.; Ragnisco, Orlando; Riglioni, Danilo A new exactly solvable quantum model in \(N\) dimensions. (English) Zbl 1242.81084 Phys. Lett., A 375, No. 12, 1431-1435 (2011). MSC: 81Q35 81Q05 81Q10 81Q80 46L65 PDF BibTeX XML Cite \textit{Á. Ballesteros} et al., Phys. Lett., A 375, No. 12, 1431--1435 (2011; Zbl 1242.81084) Full Text: DOI arXiv
Androulidakis, Iakovos; Skandalis, Georges The analytic index of elliptic pseudodifferential operators on a singular foliation. (English) Zbl 1237.57030 J. \(K\)-Theory 8, No. 3, 363-385 (2011). Reviewer: Marta Macho Stadler (Leioa) MSC: 57R30 46L87 46L65 PDF BibTeX XML Cite \textit{I. Androulidakis} and \textit{G. Skandalis}, J. \(K\)-Theory 8, No. 3, 363--385 (2011; Zbl 1237.57030) Full Text: DOI arXiv
Baklouti, Ali; Dhieb, Sami; Manchon, Dominique A deformation approach of the Kirillov map for exponential groups. (English) Zbl 1229.22009 Adv. Pure Appl. Math. 2, No. 3-4, 421-436 (2011). Reviewer: Béchir Dali (Riyadh) MSC: 22E25 22E27 53D55 PDF BibTeX XML Cite \textit{A. Baklouti} et al., Adv. Pure Appl. Math. 2, No. 3--4, 421--436 (2011; Zbl 1229.22009) Full Text: DOI
Kahng, Byung-Jay A \((2n+1)\)-dimensional quantum group constructed from a skew-symmetric matrix. (English) Zbl 1242.46084 J. Geom. Phys. 61, No. 11, 2081-2097 (2011). MSC: 46L65 53D17 81R50 17B37 PDF BibTeX XML Cite \textit{B.-J. Kahng}, J. Geom. Phys. 61, No. 11, 2081--2097 (2011; Zbl 1242.46084) Full Text: DOI arXiv
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
Ormerod, Christopher A study of the associated linear problem for \(q\)-P\(_{V}\). (English) Zbl 1218.46048 J. Phys. A, Math. Theor. 44, No. 2, Article ID 025201, 26 p. (2011). Reviewer: Bixiang Wang (Socorro) MSC: 46N55 46L65 37K35 PDF BibTeX XML Cite \textit{C. Ormerod}, J. Phys. A, Math. Theor. 44, No. 2, Article ID 025201, 26 p. (2011; Zbl 1218.46048) Full Text: DOI arXiv
Bytsenko, A. A. Deformations of geometric structures in topological sigma models. (English) Zbl 1256.81104 Kielanowski, Piotr (ed.) et al., XXIX workshop on geometric methods in physics, Białowieża, Poland, June 27 – July 3, 2010. Selected papers based on the presentations at the workshop. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0861-6/hbk). AIP Conference Proceedings 1307, 44-52 (2010). MSC: 81T45 14N35 46L65 PDF BibTeX XML Cite \textit{A. A. Bytsenko}, AIP Conf. Proc. 1307, 44--52 (2010; Zbl 1256.81104)
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
Kasprzak, P. Rieffel deformation of group coactions. (English) Zbl 1213.46068 Commun. Math. Phys. 300, No. 3, 741-763 (2010). Reviewer: Marta Macho Stadler (Leioa) MSC: 46L65 22E43 16T20 PDF BibTeX XML Cite \textit{P. Kasprzak}, Commun. Math. Phys. 300, No. 3, 741--763 (2010; Zbl 1213.46068) Full Text: DOI arXiv
Kasprzak, Paweł The Heisenberg-Lorentz quantum group. (English) Zbl 1207.46060 J. Noncommut. Geom. 4, No. 4, 577-611 (2010). MSC: 46L65 46L89 58B32 22D25 17B37 PDF BibTeX XML Cite \textit{P. Kasprzak}, J. Noncommut. Geom. 4, No. 4, 577--611 (2010; Zbl 1207.46060) Full Text: DOI arXiv
Chen, Hou-Yi GAGA for DQ-algebroid. (English) Zbl 1195.18004 Rend. Semin. Mat. Univ. Padova 123, 211-231 (2010). MSC: 18E30 18D05 32C38 46L65 53D55 18F20 PDF BibTeX XML Cite \textit{H.-Y. Chen}, Rend. Semin. Mat. Univ. Padova 123, 211--231 (2010; Zbl 1195.18004) Full Text: DOI EuDML Link
Waldmann, S. Covariant strong Morita theory of star product algebras. (English) Zbl 1195.81083 Caenepeel, Stefaan (ed.) et al., Noncommutative structures in mathematics and physics. Proceedings of the congress, Brussels, Belgium, July 22–26, 2008. Contactforum. Brussel: Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten (ISBN 978-90-6569-061-6/pbk). 245-258 (2010). MSC: 81S10 53D55 46L60 46L65 PDF BibTeX XML Cite \textit{S. Waldmann}, in: Noncommutative structures in mathematics and physics. Proceedings of the congress, Brussels, Belgium, July 22--26, 2008. Contactforum. Brussel: Koninklijke Vlaamse Academie van Belgie voor Wetenschappen en Kunsten. 245--258 (2010; Zbl 1195.81083) Full Text: arXiv
Merkulov, Sergei A. Wheeled props in algebra, geometry and quantization. (English) Zbl 1207.18010 Ran, André (ed.) et al., European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14–18, 2008. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-077-7/hbk). 83-114 (2010). Reviewer: S. Moskaliuk (Kyiv) MSC: 18D50 46L65 17B37 32G10 53D55 58H15 PDF BibTeX XML Cite \textit{S. A. Merkulov}, in: European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14--18, 2008. Zürich: European Mathematical Society (EMS). 83--114 (2010; Zbl 1207.18010) Full Text: arXiv
Ionescu, Lucian M. From Lie theory to deformation theory and quantization. (English) Zbl 1204.53079 Int. J. Pure Appl. Math. 58, No. 2, 209-230 (2010). Reviewer: Béchir Dali (Riyadh) MSC: 53D55 14D15 46L65 PDF BibTeX XML Cite \textit{L. M. Ionescu}, Int. J. Pure Appl. Math. 58, No. 2, 209--230 (2010; Zbl 1204.53079) Full Text: arXiv
Halbout, Gilles; Tang, Xiang Noncommutative Poisson structures on orbifolds. (English) Zbl 1269.58002 Trans. Am. Math. Soc. 362, No. 5, 2249-2277 (2010). MSC: 58B34 16E40 53D17 53D55 PDF BibTeX XML Cite \textit{G. Halbout} and \textit{X. Tang}, Trans. Am. Math. Soc. 362, No. 5, 2249--2277 (2010; Zbl 1269.58002) Full Text: DOI arXiv
Pflaum, M. J.; Posthuma, H.; Tang, X. Cyclic cocycles on deformation quantizations and higher index theorems. (English) Zbl 1190.53087 Adv. Math. 223, No. 6, 1958-2021 (2010). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 19D55 46L65 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Adv. Math. 223, No. 6, 1958--2021 (2010; Zbl 1190.53087) Full Text: DOI arXiv
Bordemann, Martin; Neumaier, Nikolai; Waldmann, Stefan; Weiß, Stefan Deformation quantization of surjective submersions and principal fibre bundles. (English) Zbl 1188.53104 J. Reine Angew. Math. 639, 1-38 (2010). Reviewer: Béchir Dali (Riyadh) MSC: 53D55 46L65 53D50 55R10 PDF BibTeX XML Cite \textit{M. Bordemann} et al., J. Reine Angew. Math. 639, 1--38 (2010; Zbl 1188.53104) Full Text: DOI arXiv
Tanasa, Adrian Parametric representation of a translation-invariant renormalizable noncommutative model. (English) Zbl 1178.81262 J. Phys. A, Math. Theor. 42, No. 36, Article ID 365208, 18 p. (2009). MSC: 81T75 76F30 46L65 53D55 81T70 81S10 PDF BibTeX XML Cite \textit{A. Tanasa}, J. Phys. A, Math. Theor. 42, No. 36, Article ID 365208, 18 p. (2009; Zbl 1178.81262) Full Text: DOI arXiv
Yang, Chen Isospectral deformations of Eguchi-Hanson spaces as nonunital spectral triples. (English) Zbl 1182.58010 Commun. Math. Phys. 288, No. 2, 615-652 (2009). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J42 46L65 81R60 53C27 PDF BibTeX XML Cite \textit{C. Yang}, Commun. Math. Phys. 288, No. 2, 615--652 (2009; Zbl 1182.58010) Full Text: DOI arXiv
Kashiwara, Masaki; Schapira, Pierre Modules over deformation quantization algebroids: An overview. (English) Zbl 1196.53054 Lett. Math. Phys. 88, No. 1-3, 79-99 (2009). MSC: 53D55 46L65 32C38 PDF BibTeX XML Cite \textit{M. Kashiwara} and \textit{P. Schapira}, Lett. Math. Phys. 88, No. 1--3, 79--99 (2009; Zbl 1196.53054) Full Text: DOI
Kaschek, Daniel; Neumaier, Nikolai; Waldmann, Stefan Complete positivity of Rieffel’s deformation quantization by actions of \(\mathbb R^d\). (English) Zbl 1172.53055 J. Noncommut. Geom. 3, No. 3, 361-375 (2009). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 46L87 81R60 46L65 PDF BibTeX XML Cite \textit{D. Kaschek} et al., J. Noncommut. Geom. 3, No. 3, 361--375 (2009; Zbl 1172.53055) Full Text: DOI arXiv
Wang, Shuzhou Simple compact quantum groups. I. (English) Zbl 1176.46063 J. Funct. Anal. 256, No. 10, 3313-3341 (2009). MSC: 46L65 58B32 17B37 PDF BibTeX XML Cite \textit{S. Wang}, J. Funct. Anal. 256, No. 10, 3313--3341 (2009; Zbl 1176.46063) Full Text: DOI arXiv
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
Geloun, Joseph Ben; Tanasa, Adrian One-loop \(\beta \) functions of a translation-invariant renormalizable noncommutative scalar model. (English) Zbl 1175.81175 Lett. Math. Phys. 86, No. 1, 19-32 (2008). MSC: 81T75 81T10 46L65 53D55 33B15 46F10 PDF BibTeX XML Cite \textit{J. B. Geloun} and \textit{A. Tanasa}, Lett. Math. Phys. 86, No. 1, 19--32 (2008; Zbl 1175.81175) Full Text: DOI arXiv
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira A new nonformal noncommutative calculus: associativity and finite part regularization. (English) Zbl 1177.53080 Hijazi, Oussama (ed.), Géométrie différentielle, physique mathématique, mathématiques et société (I). Volume en l’honneur de Jean Pierre Bourguignon. Paris: Société Mathématique de France (ISBN 978-2-85629-258-7/pbk). Astérisque 321, 267-297 (2008). MSC: 53D55 53D10 46L65 58B34 PDF BibTeX XML Cite \textit{H. Omori} et al., Astérisque 321, 267--297 (2008; Zbl 1177.53080)
Ben Geloun, Joseph; Hounkonnou, Mahouton Norbert; Massamba, Fortuné Moyal algebra: relevant properties, projective limits and applications in noncommutative field theory. (English) Zbl 1168.53044 SUT J. Math. 44, No. 1, 55-88 (2008). Reviewer: Akira Asada (Takarazuka) MSC: 53D55 46L65 81T75 13B25 PDF BibTeX XML Cite \textit{J. Ben Geloun} et al., SUT J. Math. 44, No. 1, 55--88 (2008; Zbl 1168.53044)
Polesello, Pietro Classification of deformation quantization algebroids on complex symplectic manifolds. (English) Zbl 1172.53058 Publ. Res. Inst. Math. Sci. 44, No. 3, 725-748 (2008). Reviewer: Hamid Vishki (Mashhad) MSC: 53D55 46L65 35A27 18D30 PDF BibTeX XML Cite \textit{P. Polesello}, Publ. Res. Inst. Math. Sci. 44, No. 3, 725--748 (2008; Zbl 1172.53058) Full Text: DOI arXiv
Schapira, Pierre Deformation quantization modules on complex symplectic manifolds. (English) Zbl 1167.46043 Dito, Giuseppe (ed.) et al., Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4423-6/pbk). Contemporary Mathematics 450, 259-271 (2008). Reviewer: Béchir Dali (Riyadh) MSC: 46L65 53D55 32C38 14A20 PDF BibTeX XML Cite \textit{P. Schapira}, Contemp. Math. 450, 259--271 (2008; Zbl 1167.46043) Full Text: arXiv
Honegger, Reinhard; Rieckers, Alfred; Schlafer, Lothar Field-theoretic Weyl deformation quantization of enlarged Poisson algebras. (English) Zbl 1156.46044 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 047, 37 p. (2008). MSC: 46L65 81R15 PDF BibTeX XML Cite \textit{R. Honegger} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 047, 37 p. (2008; Zbl 1156.46044) Full Text: DOI arXiv EuDML
Doubek, M.; Markl, M.; Zima, P. Deformation theory (lecture notes). (English) Zbl 1199.13015 Arch. Math., Brno 43, No. 5, 333-371 (2007). MSC: 13D10 14D15 53D55 46L65 PDF BibTeX XML Cite \textit{M. Doubek} et al., Arch. Math., Brno 43, No. 5, 333--371 (2007; Zbl 1199.13015) Full Text: arXiv EuDML EMIS
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Orderings and non-formal deformation quantization. (English) Zbl 1136.53064 Lett. Math. Phys. 82, No. 2-3, 153-175 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 46L65 81S10 PDF BibTeX XML Cite \textit{H. Omori} et al., Lett. Math. Phys. 82, No. 2--3, 153--175 (2007; Zbl 1136.53064) Full Text: DOI
Arnal, Didier; Dahmene, Najla; Tounsi, Khaled Poisson action and formality. (English) Zbl 1132.53045 Lett. Math. Phys. 82, No. 2-3, 177-189 (2007). MSC: 53D17 46L65 58D19 PDF BibTeX XML Cite \textit{D. Arnal} et al., Lett. Math. Phys. 82, No. 2--3, 177--189 (2007; Zbl 1132.53045) Full Text: DOI