Barmeier, Severin; Schmitt, Philipp Strict quantization of polynomial Poisson structures. (English) Zbl 07667167 Commun. Math. Phys. 398, No. 3, 1085-1127 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D50 53D17 PDF BibTeX XML Cite \textit{S. Barmeier} and \textit{P. Schmitt}, Commun. Math. Phys. 398, No. 3, 1085--1127 (2023; Zbl 07667167) Full Text: DOI arXiv OpenURL
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 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 OpenURL
Schmitt, Philipp Strict quantization of coadjoint orbits. (English) Zbl 1491.53094 J. Noncommut. Geom. 15, No. 4, 1181-1249 (2021). Reviewer: Andrea Galasso (Taipei) MSC: 53D55 17B08 32Q28 22E46 PDF BibTeX XML Cite \textit{P. Schmitt}, J. Noncommut. Geom. 15, No. 4, 1181--1249 (2021; Zbl 1491.53094) Full Text: DOI arXiv OpenURL
Steeger, Jeremy; Feintzeig, Benjamin Extensions of bundles of \(C^\ast\)-algebras. (English) Zbl 07450886 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 07450886) Full Text: DOI arXiv OpenURL
Browning, Thomas L.; Feintzeig, Benjamin H. Classical limits of gauge-invariant states and the choice of algebra for strict quantization. (English) Zbl 1443.53051 Lett. Math. Phys. 110, No. 7, 1835-1860 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 81S10 81P05 PDF BibTeX XML Cite \textit{T. L. Browning} and \textit{B. H. Feintzeig}, Lett. Math. Phys. 110, No. 7, 1835--1860 (2020; Zbl 1443.53051) Full Text: DOI OpenURL
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 OpenURL
Bieliavsky, Pierre; Gayral, Victor Deformation quantization for actions of Kählerian Lie groups. (English) Zbl 1323.22005 Mem. Am. Math. Soc. 1115, v, 154 p. (2015). Reviewer: Do Ngoc Diep (Hanoi) MSC: 22E30 46L87 81R60 58B34 81R30 53C35 32M15 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} and \textit{V. Gayral}, Deformation quantization for actions of Kählerian Lie groups. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1323.22005) Full Text: DOI arXiv OpenURL
Mathai, Varghese; Sati, Hisham Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality. (English) Zbl 1316.81078 J. Geom. Phys. 92, 240-251 (2015). MSC: 81T30 81T70 81T75 53D55 83E30 83F05 70S15 81T13 PDF BibTeX XML Cite \textit{V. Mathai} and \textit{H. Sati}, J. Geom. Phys. 92, 240--251 (2015; Zbl 1316.81078) Full Text: DOI arXiv OpenURL
Bieliavsky, Pierre; Gayral, Victor; De Goursac, Axel; Spinnler, Florian Harmonic analysis on homogeneous complex bounded domains and noncommutative geometry. (English) Zbl 1387.22014 Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Geometric and analytic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09933-0/hbk; 978-3-319-09934-7/ebook). Developments in Mathematics 37, 41-76 (2014). MSC: 22E45 46L87 53C35 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., Dev. Math. 37, 41--76 (2014; Zbl 1387.22014) Full Text: DOI arXiv OpenURL
Hawkins, Eli; Haynes, Alan Deformation quantization and irrational numbers. (English) Zbl 1296.53163 J. Symplectic Geom. 12, No. 1, 1-22 (2014). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D50 PDF BibTeX XML Cite \textit{E. Hawkins} and \textit{A. Haynes}, J. Symplectic Geom. 12, No. 1, 1--22 (2014; Zbl 1296.53163) Full Text: DOI arXiv OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
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 OpenURL
Carrillo Rouse, Paulo Higher localized analytic indices and strict deformation quantization. (English) Zbl 1207.22001 Abbaspour, Hossein (ed.) et al., Deformation spaces. Perspectives on algebro-geometric moduli. Including papers from the workshops held at the Max-Planck-Institut für Mathematik, Bonn, Germany, July 2007 and August 2008. Wiesbaden: Vieweg+Teubner (ISBN 978-3-8348-1271-1/hbk; 978-3-8348-9680-3/ebook). Aspects of Mathematics E40, 91-111 (2010). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 22A22 53D17 PDF BibTeX XML Cite \textit{P. Carrillo Rouse}, in: Deformation spaces. Perspectives on algebro-geometric moduli. Including papers from the workshops held at the Max-Planck-Institut für Mathematik, Bonn, Germany, July 2007 and August 2008. Wiesbaden: Vieweg+Teubner. 91--111 (2010; Zbl 1207.22001) Full Text: arXiv OpenURL
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 OpenURL
Heller, Jakob G.; Neumaier, Nikolai; Waldmann, Stefan Locally noncommutative spacetimes. (English) Zbl 1137.53350 J. Geom. Symmetry Phys. 10, 9-27 (2007). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{J. G. Heller} et al., J. Geom. Symmetry Phys. 10, 9--27 (2007; Zbl 1137.53350) OpenURL
Binz, Ernst; Honegger, Reinhard; Rieckers, Alfred Infinite dimensional Heisenberg group algebra and field-theoretic strict deformation quantization. (English) Zbl 1151.81025 Int. J. Pure Appl. Math. 38, No. 1, 43-78 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 81S10 46L65 81T05 81R15 53D55 43A80 58B25 81T70 PDF BibTeX XML Cite \textit{E. Binz} et al., Int. J. Pure Appl. Math. 38, No. 1, 43--78 (2007; Zbl 1151.81025) OpenURL
Bieliavsky, Pierre; Cahen, Michel; Gutt, Simone; Rawnsley, John; Schwachhöfer, Lorenz Symplectic connections. (English) Zbl 1095.53052 Int. J. Geom. Methods Mod. Phys. 3, No. 3, 375-420 (2006). MSC: 53D05 53D55 PDF BibTeX XML Cite \textit{P. Bieliavsky} et al., Int. J. Geom. Methods Mod. Phys. 3, No. 3, 375--420 (2006; Zbl 1095.53052) Full Text: DOI arXiv OpenURL
Li, Hanfeng Strict quantizations of almost Poisson manifolds. (English) Zbl 1087.53080 Commun. Math. Phys. 257, No. 2, 257-272 (2005). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 53D17 81S10 81R15 PDF BibTeX XML Cite \textit{H. Li}, Commun. Math. Phys. 257, No. 2, 257--272 (2005; Zbl 1087.53080) Full Text: DOI arXiv OpenURL
Li, Hanfeng Flabby strict deformation quantizations and \(K\)-groups. (English) Zbl 1084.46059 \(K\)-Theory 32, No. 4, 323-329 (2004). MSC: 46L87 58B34 PDF BibTeX XML Cite \textit{H. Li}, \(K\)-Theory 32, No. 4, 323--329 (2004; Zbl 1084.46059) Full Text: DOI arXiv OpenURL
Natsume, Toshikazu; Nest, Ryszard; Peter, Ingo Strict quantizations of symplectic manifolds. (English) Zbl 1064.53062 Lett. Math. Phys. 66, No. 1-2, 73-89 (2003). Reviewer: Marcela Popescu (Craiova) MSC: 53D55 46L85 32G10 81S10 53D50 58B34 PDF BibTeX XML Cite \textit{T. Natsume} et al., Lett. Math. Phys. 66, No. 1--2, 73--89 (2003; Zbl 1064.53062) Full Text: DOI OpenURL
Bieliavsky, Pierre; Maeda, Yoshiaki Convergent star product algebras on ‘\(ax+b\)’. (English) Zbl 1036.53067 Lett. Math. Phys. 62, No. 3, 233-243 (2002). Reviewer: Nikolai Alexander Neumaier (Frankfurt am Main) MSC: 53D55 22E46 81S10 PDF BibTeX XML Cite \textit{P. Bieliavsky} and \textit{Y. Maeda}, Lett. Math. Phys. 62, No. 3, 233--243 (2002; Zbl 1036.53067) Full Text: DOI arXiv OpenURL
Landsman, N. P.; Ramazan, B. Quantization of Poisson algebras associated to Lie algebroids. (English) Zbl 1013.46053 Ramsay, Arlan (ed.) et al., Groupoids in analysis, geometry, and physics. AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 20-24, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 282, 159-192 (2001). Reviewer: D.A.Dubin (Milton Keynes) MSC: 46L65 22A22 81S10 46L60 PDF BibTeX XML Cite \textit{N. P. Landsman} and \textit{B. Ramazan}, Contemp. Math. 282, 159--192 (2001; Zbl 1013.46053) Full Text: arXiv OpenURL
Nagy, Gabriel A deformation quantization procedure for \(C^*\)-algebras. (English) Zbl 1001.46045 J. Oper. Theory 44, No. 2, 369-411 (2000). MSC: 46L65 81R50 PDF BibTeX XML Cite \textit{G. Nagy}, J. Oper. Theory 44, No. 2, 369--411 (2000; Zbl 1001.46045) OpenURL
Omori, Hideki; Maeda, Yoshiaki; Miyazaki, Naoya; Yoshioka, Akira Deformation quantization of Fréchet-Poisson algebras: Convergence of the Moyal product. (English) Zbl 0987.53036 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, 233-245 (2000). MSC: 53D55 81S10 PDF BibTeX XML Cite \textit{H. Omori} et al., Math. Phys. Stud. 22, 233--245 (2000; Zbl 0987.53036) OpenURL
Cariñena, José F.; Clemente-Gallardo, Jesús Quantization of the cotangent bundle via the tangent groupoid. (English) Zbl 0987.53035 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 43-53 (2000). MSC: 53D50 81S10 PDF BibTeX XML Cite \textit{J. F. Cariñena} and \textit{J. Clemente-Gallardo}, Banach Cent. Publ. 51, 43--53 (2000; Zbl 0987.53035) Full Text: EuDML Link OpenURL
Landsman, N. P. Strict quantization of coadjoint orbits. (English) Zbl 0986.81057 J. Math. Phys. 39, No. 12, 6372-6383 (1998). MSC: 81S10 22E70 46L60 53D55 81R15 81R30 46L65 PDF BibTeX XML Cite \textit{N. P. Landsman}, J. Math. Phys. 39, No. 12, 6372--6383 (1998; Zbl 0986.81057) Full Text: DOI arXiv OpenURL
Rieffel, Marc A. Deformation quantization for actions of \(\mathbb{R}^ d\). (English) Zbl 0798.46053 Mem. Am. Math. Soc. 506, 93 p. (1993). Reviewer: P.Hillion (Le Vesinet) MSC: 46L87 35S05 46L60 81S10 PDF BibTeX XML Cite \textit{M. A. Rieffel}, Deformation quantization for actions of \(\mathbb{R}^ d\). Providence, RI: American Mathematical Society (AMS) (1993; Zbl 0798.46053) Full Text: DOI OpenURL
Rieffel, Marc A. Deformation quantization and operator algebras. (English) Zbl 0715.46038 Operator theory, operator algebras and applications, Proc. Summer Res. Inst., Durham/NH (USA) 1988, Proc. Symp. Pure Math. 51, Pt. 1, 411-423 (1990). Reviewer: H.Araki MSC: 46L87 46L60 81S10 PDF BibTeX XML OpenURL