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Macfarlane, A. J. On q-analogues of the quantum harmonic oscillator and the quantum group \(SU(2)_ q\). (English) Zbl 0722.17009 J. Phys. A, Math. Gen. 22, No. 21, 4581-4588 (1989). Reviewer: V.Pestov (Novosibirsk) MSC: 17B37 81R50 53D50 PDFBibTeX XMLCite \textit{A. J. Macfarlane}, J. Phys. A, Math. Gen. 22, No. 21, 4581--4588 (1989; Zbl 0722.17009) Full Text: DOI
Guillemin, Victor; Sternberg, Shlomo Symplectic techniques in physics. (English) Zbl 0576.58012 Cambridge etc.: Cambridge University Press. XI, 468 p. £32.50; $ 49.50 (1984). Reviewer: L.E.Fajbusovich MSC: 37J99 58-02 57R30 81T08 53C80 53D50 37J35 37K10 57S25 81V45 PDFBibTeX XML
Markl, Martin; Shnider, Steve; Stasheff, Jim Operads in algebra, topology and physics. (English) Zbl 1017.18001 Mathematical Surveys and Monographs. 96. Providence, RI: American Mathematical Society (AMS). x, 349 p. (2002). Reviewer: Bernhard Drabant (Walldorf) MSC: 18-02 55-02 55P48 18D50 81-02 57N10 57M25 57T05 PDFBibTeX XMLCite \textit{M. Markl} et al., Operads in algebra, topology and physics. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1017.18001)
Cannas da Silva, Ana; Weinstein, Alan Geometric models for noncommutative algebras. (English) Zbl 1135.58300 Berkeley Mathematics Lecture Notes 10. Providence, RI: American Mathematical Society (AMS); Berkekey, CA: Berkeley Center for Pure and Applied Mathematics (ISBN 0-8218-0952-0/pbk). xiv, 184 p. (1999). MSC: 58B34 58B32 16S80 17B63 46L89 53D17 53D55 PDFBibTeX XMLCite \textit{A. Cannas da Silva} and \textit{A. Weinstein}, Geometric models for noncommutative algebras. Providence, RI: American Mathematical Society (AMS); Berkekey, CA: Berkeley Center for Pure and Applied Mathematics (1999; Zbl 1135.58300)
Kontsevich, Maxim Operads and motives in deformation quantization. (English) Zbl 0945.18008 Lett. Math. Phys. 48, No. 1, 35-72 (1999). Reviewer: Werner Kleinert (Berlin) MSC: 18D50 16S80 55P35 14F40 14F25 58A50 18D10 81T99 55P48 PDFBibTeX XMLCite \textit{M. Kontsevich}, Lett. Math. Phys. 48, No. 1, 35--72 (1999; Zbl 0945.18008) Full Text: DOI arXiv
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Rieffel, Marc A. Deformation quantization of Heisenberg manifolds. (English) Zbl 0679.46055 Commun. Math. Phys. 122, No. 4, 531-562 (1989). Reviewer: H.Araki MSC: 46L60 81S10 46L05 46L55 46L80 PDFBibTeX XMLCite \textit{M. A. Rieffel}, Commun. Math. Phys. 122, No. 4, 531--562 (1989; Zbl 0679.46055) Full Text: DOI
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 PDFBibTeX XMLCite \textit{T. Braden} et al., Quantizations of conical symplectic resolutions. Paris: Société Mathématique de France (SMF) (2016; Zbl 1360.53001)
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Fock, V. V.; Goncharov, A. B. The quantum dilogarithm and representations of quantum cluster varieties. (English) Zbl 1183.14037 Invent. Math. 175, No. 2, 223-286 (2009). Reviewer: Stefan Berceanu (Bucureşti) MSC: 14G40 53D17 17B37 53D55 33B30 PDFBibTeX XMLCite \textit{V. V. Fock} and \textit{A. B. Goncharov}, Invent. Math. 175, No. 2, 223--286 (2009; Zbl 1183.14037) Full Text: DOI arXiv
Faddeev, L. D.; Reshetikhin, N. Yu.; Takhtadzhan, L. A. Quantization of Lie groups and Lie algebras. (English) Zbl 0677.17010 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 1, 129-139 (1989). Reviewer: Helmut Boseck (Greifswald) MSC: 17B37 16T20 16T25 16T05 20G42 53D17 53D55 PDFBibTeX XML
Kontsevich, Maxim Deformation quantization of algebraic varieties. (English) Zbl 1081.14500 Lett. Math. Phys. 56, No. 3, 271-294 (2001). MSC: 14A22 53D55 16S60 PDFBibTeX XMLCite \textit{M. Kontsevich}, Lett. Math. Phys. 56, No. 3, 271--294 (2001; Zbl 1081.14500) Full Text: DOI arXiv
Xu, Ping Quantum groupoids. (English) Zbl 0986.17003 Commun. Math. Phys. 216, No. 3, 539-581 (2001). Reviewer: Robert A.Wolak (Kraków) MSC: 17B37 53D55 58H05 81R50 17B62 22A22 PDFBibTeX XMLCite \textit{P. Xu}, Commun. Math. Phys. 216, No. 3, 539--581 (2001; Zbl 0986.17003) Full Text: DOI arXiv
Cattaneo, Alberto S.; Felder, Giovanni On the AKSZ formulation of the Poisson sigma model. (English) Zbl 1058.81034 Lett. Math. Phys. 56, No. 2, 163-179 (2001). MSC: 81R12 53D55 81T45 58D30 81T70 82B31 PDFBibTeX XMLCite \textit{A. S. Cattaneo} and \textit{G. Felder}, Lett. Math. Phys. 56, No. 2, 163--179 (2001; Zbl 1058.81034) Full Text: DOI arXiv
Willwacher, Thomas M. Kontsevich’s graph complex and the Grothendieck-Teichmüller Lie algebra. (English) Zbl 1394.17044 Invent. Math. 200, No. 3, 671-760 (2015). MSC: 17B55 18D50 53D55 PDFBibTeX XMLCite \textit{T. Willwacher}, Invent. Math. 200, No. 3, 671--760 (2015; Zbl 1394.17044) Full Text: DOI arXiv
Etingof, Pavel Calogero-Moser systems and representation theory. (English) Zbl 1331.53002 Zurich Lectures in Advanced Mathematics. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-034-0/pbk). ix, 92 p. (2007). MSC: 53-02 17-02 37-02 53D17 16G30 17B80 37J35 53D20 53D55 81R12 PDFBibTeX XMLCite \textit{P. Etingof}, Calogero-Moser systems and representation theory. Zürich: European Mathematical Society Publishing House (2007; Zbl 1331.53002) Full Text: DOI
Rejzner, Kasia Perturbative algebraic quantum field theory. An introduction for mathematicians. (English) Zbl 1347.81011 Mathematical Physics Studies. Cham: Springer (ISBN 978-3-319-25899-7/hbk; 978-3-319-25901-7/ebook). xi, 180 p. (2016). Reviewer: Gert Roepstorff (Aachen) MSC: 81-02 81T10 81T15 81R15 46L60 81T05 81V17 83C45 81S10 53D55 00A79 PDFBibTeX XMLCite \textit{K. Rejzner}, Perturbative algebraic quantum field theory. An introduction for mathematicians. Cham: Springer (2016; Zbl 1347.81011) Full Text: DOI Backlinks: MO
Beem, Christopher; Peelaers, Wolfger; Rastelli, Leonardo Deformation quantization and superconformal symmetry in three dimensions. (English) Zbl 1375.81227 Commun. Math. Phys. 354, No. 1, 345-392 (2017). Reviewer: Benjamin Cahen (Metz) MSC: 81T70 53D55 81T40 81T60 81R25 81R15 17B20 PDFBibTeX XMLCite \textit{C. Beem} et al., Commun. Math. Phys. 354, No. 1, 345--392 (2017; Zbl 1375.81227) Full Text: DOI arXiv
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Losev, Ivan Quantized symplectic actions and \(W\)-algebras. (English) Zbl 1246.17015 J. Am. Math. Soc. 23, No. 1, 35-59 (2010). Reviewer: Panagiotis Batakidis (Nicosia) MSC: 17B35 53D55 PDFBibTeX XMLCite \textit{I. Losev}, J. Am. Math. Soc. 23, No. 1, 35--59 (2010; Zbl 1246.17015) Full Text: DOI arXiv
Lecomte, P. B. A.; Ovsienko, V. Yu. Projectively equivariant symbol calculus. (English) Zbl 0989.17015 Lett. Math. Phys. 49, No. 3, 173-196 (1999). MSC: 17B66 58J42 53D55 PDFBibTeX XMLCite \textit{P. B. A. Lecomte} and \textit{V. Yu. Ovsienko}, Lett. Math. Phys. 49, No. 3, 173--196 (1999; Zbl 0989.17015) Full Text: DOI arXiv
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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 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{P. Schapira}, Deformation quantization modules. Paris: Société Mathématique de France (SMF). (2012; Zbl 1260.32001) Full Text: 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 PDFBibTeX XMLCite \textit{D. Buchholz} et al., Commun. Math. Phys. 304, No. 1, 95--123 (2011; Zbl 1227.46043) Full Text: DOI arXiv
Aschieri, Paolo; Dimitrijevic, Marija; Kulish, Peter; Lizzi, Fedele; Wess, Julius Noncommutative spacetimes. Symmetries in noncommutative geometry and field theory. (English) Zbl 1177.81004 Lecture Notes in Physics 774. Berlin: Springer (ISBN 978-3-540-89792-7/hbk; 978-3-540-89793-4/ebook). xiv, 199 p. (2009). Reviewer: Tomasz Brzeziński (Swansea) MSC: 81-02 81T75 58B34 81T70 81T13 81V17 81R50 17B37 53D55 81R25 81U40 81R12 82B20 83C45 PDFBibTeX XMLCite \textit{P. Aschieri} et al., Noncommutative spacetimes. Symmetries in noncommutative geometry and field theory. Berlin: Springer (2009; Zbl 1177.81004) Full Text: DOI
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Coburn, L. A. Deformation estimates for the Berezin-Toeplitz quantization. (English) Zbl 0829.46056 Commun. Math. Phys. 149, No. 2, 415-424 (1992). MSC: 46N50 46L60 81S05 PDFBibTeX XMLCite \textit{L. A. Coburn}, Commun. Math. Phys. 149, No. 2, 415--424 (1992; Zbl 0829.46056) Full Text: DOI
Mylonas, Dionysios; Schupp, Peter; Szabo, Richard J. Non-geometric fluxes, quasi-Hopf twist deformations, and nonassociative quantum mechanics. (English) Zbl 1330.81135 J. Math. Phys. 55, No. 12, 122301, 30 p. (2014). MSC: 81S10 53D55 81T30 14D21 14D15 16T05 58A15 22E70 PDFBibTeX XMLCite \textit{D. Mylonas} et al., J. Math. Phys. 55, No. 12, 122301, 30 p. (2014; Zbl 1330.81135) Full Text: DOI arXiv
Goodearl, K. R.; Yakimov, M. Poisson structures on affine spaces and flag varieties. II. (English) Zbl 1179.53087 Trans. Am. Math. Soc. 361, No. 11, 5753-5780 (2009). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D17 17B20 14M15 14L30 PDFBibTeX XMLCite \textit{K. R. Goodearl} and \textit{M. Yakimov}, Trans. Am. Math. Soc. 361, No. 11, 5753--5780 (2009; Zbl 1179.53087) Full Text: DOI arXiv
Gargoubi, Hichem; Mellouli, Najla; Ovsienko, Valentin Differential operators on supercircle: conformally equivariant quantization and symbol calculus. (English) Zbl 1112.53066 Lett. Math. Phys. 79, No. 1, 51-65 (2007). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 58A50 17B68 81S10 17B66 PDFBibTeX XMLCite \textit{H. Gargoubi} et al., Lett. Math. Phys. 79, No. 1, 51--65 (2007; Zbl 1112.53066) Full Text: DOI arXiv
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Majid, Shahn; Oeckl, Robert Twisting of quantum differentials and the Planck scale Hopf algebra. (English) Zbl 0939.58007 Commun. Math. Phys. 205, No. 3, 617-655 (1999). MSC: 58B32 17B37 16W30 53D55 PDFBibTeX XMLCite \textit{S. Majid} and \textit{R. Oeckl}, Commun. Math. Phys. 205, No. 3, 617--655 (1999; Zbl 0939.58007) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. de Gosson}, The Wigner transform. Hackensack, NJ: World Scientific (2017; Zbl 1372.81009) Full Text: DOI
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Felder, Giovanni; Shoikhet, Boris Deformation quantization with traces. (English) Zbl 0983.53065 Lett. Math. Phys. 53, No. 1, 75-86 (2000). MSC: 53D55 81S10 16E40 53D17 PDFBibTeX XMLCite \textit{G. Felder} and \textit{B. Shoikhet}, Lett. Math. Phys. 53, No. 1, 75--86 (2000; Zbl 0983.53065) Full Text: DOI arXiv
Dolgushev, Vasiliy A.; Tamarkin, Dmitry; Tsygan, Boris The homotopy Gerstenhaber algebra of Hochschild cochains of a regular algebra is formal. (English) Zbl 1144.18007 J. Noncommut. Geom. 1, No. 1, 1-25 (2007). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18D50 16E40 16E45 58B99 53D55 PDFBibTeX XMLCite \textit{V. A. Dolgushev} et al., J. Noncommut. Geom. 1, No. 1, 1--25 (2007; Zbl 1144.18007) Full Text: DOI arXiv Link
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Arnlind, Joakim; Makhlouf, Abdenacer; Silvestrov, Sergei Construction of \(n\)-Lie algebras and \(n\)-ary Hom-Nambu-Lie algebras. (English) Zbl 1273.17005 J. Math. Phys. 52, No. 12, 123502, 13 p. (2011). MSC: 17A42 20N15 17B63 53D55 37E40 81S10 PDFBibTeX XMLCite \textit{J. Arnlind} et al., J. Math. Phys. 52, No. 12, 123502, 13 p. (2011; Zbl 1273.17005) Full Text: DOI arXiv
Gordon, Iain G.; Losev, Ivan On category \(\mathcal O\) for cyclotomic rational Cherednik algebras. (English) Zbl 1345.20009 J. Eur. Math. Soc. (JEMS) 16, No. 5, 1017-1079 (2014). MSC: 20C08 17B10 20F55 53D55 16E35 18E25 PDFBibTeX XMLCite \textit{I. G. Gordon} and \textit{I. Losev}, J. Eur. Math. Soc. (JEMS) 16, No. 5, 1017--1079 (2014; Zbl 1345.20009) Full Text: DOI arXiv
Aschieri, Paolo; Schenkel, Alexander Noncommutative connections on bimodules and Drinfeld twist deformation. (English) Zbl 1317.14008 Adv. Theor. Math. Phys. 18, No. 3, 513-612 (2014). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14B12 16D20 11G09 14A22 16T05 PDFBibTeX XMLCite \textit{P. Aschieri} and \textit{A. Schenkel}, Adv. Theor. Math. Phys. 18, No. 3, 513--612 (2014; Zbl 1317.14008) Full Text: DOI arXiv Euclid
Bordemann, Martin; Herbig, Hans-Christian; Waldmann, Stefan BRST cohomology and phase space reduction in deformation quantization. (English) Zbl 0961.53046 Commun. Math. Phys. 210, No. 1, 107-144 (2000). Reviewer: Janusz Grabowski (Warszawa) MSC: 53D55 81T70 53D20 17B56 PDFBibTeX XMLCite \textit{M. Bordemann} et al., Commun. Math. Phys. 210, No. 1, 107--144 (2000; Zbl 0961.53046) 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 PDFBibTeX XMLCite \textit{W. Bauer}, J. Funct. Anal. 256, No. 10, 3107--3142 (2009; Zbl 1169.47017) Full Text: DOI
Calaque, Damien; Rossi, Carlo A. Lectures on Duflo isomorphisms in Lie algebra and complex geometry. (English) Zbl 1220.53006 EMS Series of Lectures in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-096-8/pbk). viii, 106 p. (2011). Reviewer: Benjamin Cahen (Metz) MSC: 53-02 53D55 17B55 PDFBibTeX XMLCite \textit{D. Calaque} and \textit{C. A. Rossi}, Lectures on Duflo isomorphisms in Lie algebra and complex geometry. Zürich: European Mathematical Society (EMS) (2011; Zbl 1220.53006) Full Text: DOI Link Backlinks: MO
Ikeda, Noriaki Lectures on AKSZ sigma models for physicists. (English) Zbl 1377.81186 Maeda, Yoshiaki (ed.) et al., Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 “Fundamental problems in quantum physics: strings, black holes and quantum information”, and related events in the period 2014–2016. Hackensack, NJ: World Scientific (ISBN 978-981-3144-60-6/hbk; 978-981-3144-62-0/ebook). 79-169 (2017). Reviewer: Akira Asada (Takarazuka) MSC: 81T45 81T10 17B81 81S10 53D55 PDFBibTeX XMLCite \textit{N. Ikeda}, in: Noncommutative geometry and physics 4. Selected papers based on lectures presented at the Tohoku Forum for Creativity in the thematic year 2015 ``Fundamental problems in quantum physics: strings, black holes and quantum information'', and related events in the period 2014--2016. Hackensack, NJ: World Scientific. 79--169 (2017; Zbl 1377.81186) Full Text: arXiv
Alekseev, Anton; Lachowska, A. Invariant *-products on coadjoint orbits and the Shapovalov pairing. (English) Zbl 1162.53327 Comment. Math. Helv. 80, No. 4, 795-810 (2005). MSC: 53D55 17B45 22E60 PDFBibTeX XMLCite \textit{A. Alekseev} and \textit{A. Lachowska}, Comment. Math. Helv. 80, No. 4, 795--810 (2005; Zbl 1162.53327) Full Text: DOI arXiv Link
DeBellis, Joshua; Sämann, Christian; Szabo, Richard J. Quantized Nambu-Poisson manifolds and \(n\)-Lie algebras. (English) Zbl 1314.81149 J. Math. Phys. 51, No. 12, 122303, 34 p. (2010). MSC: 81T75 81T70 81T30 53D17 17B63 58B34 53D55 PDFBibTeX XMLCite \textit{J. DeBellis} et al., J. Math. Phys. 51, No. 12, 122303, 34 p. (2010; Zbl 1314.81149) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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Flato, Moshé; Simon, Jacques C. H.; Taflin, Erik Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations. (English) Zbl 0892.35147 Mem. Am. Math. Soc. 606, 311 p. (1997). Reviewer: A.Jeffrey (Newcastle upon Tyne) MSC: 35Q75 35-02 81V10 81Q05 35L70 22E70 81R10 PDFBibTeX XMLCite \textit{M. Flato} et al., Asymptotic completeness, global existence and the infrared problem for the Maxwell-Dirac equations. Providence, RI: American Mathematical Society (AMS) (1997; Zbl 0892.35147) Full Text: DOI arXiv Link
Arnal, D.; Cortet, J. C.; Molin, P.; Pinczon, G. Covariance and geometrical invariance in quantization. (English) Zbl 0515.22015 J. Math. Phys. 24, 276-283 (1983). MSC: 22E70 81R10 22E60 17B15 PDFBibTeX XMLCite \textit{D. Arnal} et al., J. Math. Phys. 24, 276--283 (1983; Zbl 0515.22015) Full Text: DOI
Dito, Giuseppe Kontsevich star product on the dual of a Lie algebra. (English) Zbl 0957.53047 Lett. Math. Phys. 48, No. 4, 307-322 (1999). MSC: 53D55 17B37 58H15 PDFBibTeX XMLCite \textit{G. Dito}, Lett. Math. Phys. 48, No. 4, 307--322 (1999; Zbl 0957.53047) Full Text: DOI arXiv
Tamarkin, Dmitri; Tsygan, Boris The ring of differential operators on forms in noncommutative calculus. (English) Zbl 1150.16011 Lyubich, Mikhail (ed.) et al., Graphs and patterns in mathematics and theoretical physics. Proceedings of the conference dedicated to Dennis Sullivan’s 60th birthday, June 14–21, 2001. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3666-8/hbk). Proceedings of Symposia in Pure Mathematics 73, 105-131 (2005). MSC: 16E45 16E40 58B34 16S32 18D50 55S20 53D55 PDFBibTeX XMLCite \textit{D. Tamarkin} and \textit{B. Tsygan}, Proc. Symp. Pure Math. 73, 105--131 (2005; Zbl 1150.16011)
Kravchenko, Olga Deformations of Batalin-Vilkovisky algebras. (English) Zbl 1015.17029 Grabowski, Janusz (ed.) et al., Poisson geometry. Stanisław Zakrzewski in memoriam. Warszawa: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 51, 131-139 (2000). MSC: 17B70 53D55 81T70 PDFBibTeX XMLCite \textit{O. Kravchenko}, Banach Cent. Publ. 51, 131--139 (2000; Zbl 1015.17029) Full Text: arXiv EuDML Link
Basdouri, Imed; Ben Ammar, Mabrouk Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\). (English) Zbl 1138.53066 Lett. Math. Phys. 81, No. 3, 239-251 (2007). MSC: 53D55 58A50 17B56 17B66 PDFBibTeX XMLCite \textit{I. Basdouri} and \textit{M. Ben Ammar}, Lett. Math. Phys. 81, No. 3, 239--251 (2007; Zbl 1138.53066) Full Text: DOI arXiv
Bezrukavnikov, Roman; Losev, Ivan Etingof’s conjecture for quantized quiver varieties. (English) Zbl 1492.16017 Invent. Math. 223, No. 3, 1097-1226 (2021). Reviewer: Alireza Nasr-Isfahani (Isfahan) MSC: 16G99 16G20 53D20 53D55 PDFBibTeX XMLCite \textit{R. Bezrukavnikov} and \textit{I. Losev}, Invent. Math. 223, No. 3, 1097--1226 (2021; Zbl 1492.16017) Full Text: DOI arXiv Link
Dütsch, Michael; Fredenhagen, Klaus Perturbative algebraic field theory, and deformation quantization. (English) Zbl 0990.81054 Longo, Roberto (ed.), Mathematical physics in mathematics and physics. Quantum and operator algebraic aspects. Proceedings of a conference, Siena, Italy, June 20-24, 2000. Dedicated to Sergio Doplicher and John E. Roberts on the occasion of their 60th birthday. Providence, RI: AMS, American Mathematical Society. Fields Inst. Commun. 30, 151-160 (2001). MSC: 81T05 81T70 81T15 70S05 53D55 PDFBibTeX XMLCite \textit{M. Dütsch} and \textit{K. Fredenhagen}, Fields Inst. Commun. 30, 151--160 (2001; Zbl 0990.81054) Full Text: arXiv
Van den Bergh, Michel On global deformation quantization in the algebraic case. (English) Zbl 1133.14021 J. Algebra 315, No. 1, 326-395 (2007). Reviewer: Arvid Siqveland (Kongsberg) MSC: 14F40 14A22 16E40 53D55 PDFBibTeX XMLCite \textit{M. Van den Bergh}, J. Algebra 315, No. 1, 326--395 (2007; Zbl 1133.14021) Full Text: DOI arXiv
Kashiwara, Masaki; Rouquier, Raphaël Microlocalization of rational Cherednik algebras. (English) Zbl 1147.14002 Duke Math. J. 144, No. 3, 525-573 (2008). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 14A20 14A22 16D90 14C05 53D55 PDFBibTeX XMLCite \textit{M. Kashiwara} and \textit{R. Rouquier}, Duke Math. J. 144, No. 3, 525--573 (2008; Zbl 1147.14002) 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 PDFBibTeX XMLCite \textit{S. Neshveyev} and \textit{L. Tuset}, Commun. Math. Phys. 312, No. 1, 223--250 (2012; Zbl 1250.22017) Full Text: DOI arXiv Backlinks: MO
Bordemann, Martin; Waldmann, Stefan Formal GNS construction and states in deformation quantization. (English) Zbl 0989.53057 Commun. Math. Phys. 195, No. 3, 549-583 (1998). MSC: 53D55 81S10 46L60 PDFBibTeX XMLCite \textit{M. Bordemann} and \textit{S. Waldmann}, Commun. Math. Phys. 195, No. 3, 549--583 (1998; Zbl 0989.53057) Full Text: DOI arXiv
Stasheff, Jim The (secret?) homological algebra of the Batalin-Vilkovisky approach. (English) Zbl 0969.17012 Henneaux, Marc (ed.) et al., Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24-31, 1997. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 219, 195-210 (1998). Reviewer: Johannes Huebschmann (Villeneuve d’Ascq) MSC: 17B55 16E45 81T70 37K25 18G55 70H03 70H33 70H45 70H50 PDFBibTeX XMLCite \textit{J. Stasheff}, Contemp. Math. 219, 195--210 (1998; Zbl 0969.17012) Full Text: arXiv
Shoikhet, Boris Vanishing of the Kontsevich integrals of the wheels. (English) Zbl 1018.53043 Lett. Math. Phys. 56, No. 2, 141-149 (2001). Reviewer: Nikolai Alexander Neumaier (Freiburg i.Br.) MSC: 53D55 17B63 PDFBibTeX XMLCite \textit{B. Shoikhet}, Lett. Math. Phys. 56, No. 2, 141--149 (2001; Zbl 1018.53043) 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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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Yao, Yuan; Ye, Yu; Zhang, Pu Quiver Poisson algebras. (English) Zbl 1180.17007 J. Algebra 312, No. 2, 570-589 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 16G20 53D55 PDFBibTeX XMLCite \textit{Y. Yao} et al., J. Algebra 312, No. 2, 570--589 (2007; Zbl 1180.17007) Full Text: DOI
Castellani, Leonardo Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity. (English) Zbl 0848.58004 Commun. Math. Phys. 171, No. 2, 383-404 (1995). MSC: 46L85 46L87 17B37 81R50 83C45 PDFBibTeX XMLCite \textit{L. Castellani}, Commun. Math. Phys. 171, No. 2, 383--404 (1995; Zbl 0848.58004) Full Text: DOI arXiv
Blohmann, Christian Covariant realization of quantum spaces as star products by Drinfeld twists. (English) Zbl 1062.58008 J. Math. Phys. 44, No. 10, 4736-4755 (2003). MSC: 58B32 17B37 53D55 81R50 PDFBibTeX XMLCite \textit{C. Blohmann}, J. Math. Phys. 44, No. 10, 4736--4755 (2003; Zbl 1062.58008) Full Text: DOI arXiv Link
Huebschmann, Johannes; Stasheff, Jim Formal solution of the master equation via HPT and deformation theory. (English) Zbl 1036.17016 Forum Math. 14, No. 6, 847-868 (2002). Reviewer: Arvid Siqveland (Kongsberg) MSC: 17B55 14J32 16W30 13D10 17B70 81T70 57R15 18G10 PDFBibTeX XMLCite \textit{J. Huebschmann} and \textit{J. Stasheff}, Forum Math. 14, No. 6, 847--868 (2002; Zbl 1036.17016) Full Text: DOI arXiv
Beggs, E. J.; Majid, S. Quantization by cochain twists and nonassociative differentials. (English) Zbl 1310.81101 J. Math. Phys. 51, No. 5, 053522, 32 p. (2010). MSC: 81S10 53D55 53D40 18G35 81R50 17B37 81Q20 81Q05 PDFBibTeX XMLCite \textit{E. J. Beggs} and \textit{S. Majid}, J. Math. Phys. 51, No. 5, 053522, 32 p. (2010; Zbl 1310.81101) Full Text: DOI arXiv
Losev, Ivan 1-dimensional representations and parabolic induction for \(W\)-algebras. (English) Zbl 1287.17025 Adv. Math. 226, No. 6, 4841-4883 (2011). MSC: 17B35 17B10 53D55 PDFBibTeX XMLCite \textit{I. Losev}, Adv. Math. 226, No. 6, 4841--4883 (2011; Zbl 1287.17025) Full Text: DOI arXiv
Ben Ammar, Mabrouk; Boujelbene, Maha \(\mathfrak{sl}(2)\)-trivial deformations of \(\text{Vect}_{\text{Pol}}(\mathbb R)\)-modules of symbols. (English) Zbl 1218.17013 SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 065, 19 p. (2008). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 17B56 17B66 53D55 PDFBibTeX XMLCite \textit{M. Ben Ammar} and \textit{M. Boujelbene}, SIGMA, Symmetry Integrability Geom. Methods Appl. 4, Paper 065, 19 p. (2008; Zbl 1218.17013) Full Text: DOI arXiv EuDML
Losev, Ivan Finite \(W\)-algebras. (English) Zbl 1232.17024 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1281-1307 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 17B35 16G99 53D20 53D55 PDFBibTeX XMLCite \textit{I. Losev}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 1281--1307 (2011; Zbl 1232.17024) Full Text: arXiv Link
Dubin, D. A.; Hennings, M. A.; Smith, T. B. Mathematical aspects of Weyl quantization and phase. (English) Zbl 0981.81002 Singapore: World Scientific. xiv, 546 p. (2000). Reviewer: N.P.Landsman (Amsterdam) MSC: 81-02 81V80 81S10 81P15 46N50 46L65 47N50 53D55 PDFBibTeX XMLCite \textit{D. A. Dubin} et al., Mathematical aspects of Weyl quantization and phase. Singapore: World Scientific (2000; Zbl 0981.81002)
Bezrukavnikov, R.; Kaledin, D. Fedosov quantization in positive characteristic. (English) Zbl 1138.53067 J. Am. Math. Soc. 21, No. 2, 409-438 (2008). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 PDFBibTeX XMLCite \textit{R. Bezrukavnikov} and \textit{D. Kaledin}, J. Am. Math. Soc. 21, No. 2, 409--438 (2008; Zbl 1138.53067) Full Text: DOI arXiv
Markl, Martin Deformation theory of algebras and their diagrams. (English) Zbl 1267.16029 CBMS Regional Conference Series in Mathematics 116. Providence, RI: American Mathematical Society (AMS); Washington, DC: Conference Board of the Mathematical Sciences (CBMS) (ISBN 978-0-8218-8979-4/pbk). ix, 129 p. (2012). Reviewer: Pasha Zusmanovich (Tallinn) MSC: 16S80 13D10 16-02 16E45 17B55 17B70 18D50 53D55 PDFBibTeX XMLCite \textit{M. Markl}, Deformation theory of algebras and their diagrams. Providence, RI: American Mathematical Society (AMS); Washington, DC: Conference Board of the Mathematical Sciences (CBMS) (2012; Zbl 1267.16029) Backlinks: MO
Donin, J.; Mudrov, A. Explicit equivariant quantization on coadjoint orbits of \(\text{GL}(n,\mathbb C)\). (English) Zbl 1030.53090 Lett. Math. Phys. 62, No. 1, 17-32 (2002). Reviewer: Ioan Pop (Iaşi) MSC: 53D55 17B37 81R50 PDFBibTeX XMLCite \textit{J. Donin} and \textit{A. Mudrov}, Lett. Math. Phys. 62, No. 1, 17--32 (2002; Zbl 1030.53090) Full Text: DOI arXiv
Keller, Frank; Waldmann, Stefan Deformation theory of Courant algebroids via the Rothstein algebra. (English) Zbl 1315.53103 J. Pure Appl. Algebra 219, No. 8, 3391-3426 (2015). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 53D15 PDFBibTeX XMLCite \textit{F. Keller} and \textit{S. Waldmann}, J. Pure Appl. Algebra 219, No. 8, 3391--3426 (2015; Zbl 1315.53103) Full Text: DOI arXiv
Rieffel, Marc A. \(K\)-groups of \(C^*\)-algebras deformed by actions of \(\mathbb{R}^ d\). (English) Zbl 0803.46077 J. Funct. Anal. 116, No. 1, 199-214 (1993). Reviewer: G.A.Noskov (Omsk) MSC: 46L80 46L55 46L85 PDFBibTeX XMLCite \textit{M. A. Rieffel}, J. Funct. Anal. 116, No. 1, 199--214 (1993; Zbl 0803.46077) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. P. Landsman} and \textit{B. Ramazan}, Contemp. Math. 282, 159--192 (2001; Zbl 1013.46053) Full Text: 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 PDFBibTeX XMLCite \textit{B. Durhuus} and \textit{A. Sitarz}, J. Noncommut. Geom. 7, No. 3, 605--645 (2013; Zbl 1282.46063) Full Text: DOI arXiv
Barnes, Gwendolyn E.; Schenkel, Alexander; Szabo, Richard J. Nonassociative geometry in quasi-Hopf representation categories. I: Bimodules and their internal homomorphisms. (English) Zbl 1321.83035 J. Geom. Phys. 89, 111-152 (2015). MSC: 83C65 81T20 83C45 16T05 17B37 46L87 53D55 PDFBibTeX XMLCite \textit{G. E. Barnes} et al., J. Geom. Phys. 89, 111--152 (2015; Zbl 1321.83035) Full Text: DOI arXiv
Charles, Laurent Symbolic calculus for Toeplitz operators with half-form. (English) Zbl 1123.58016 J. Symplectic Geom. 4, No. 2, 171-198 (2006). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 58J37 53D50 47L80 47B35 47G30 32L05 53D55 PDFBibTeX XMLCite \textit{L. Charles}, J. Symplectic Geom. 4, No. 2, 171--198 (2006; Zbl 1123.58016) Full Text: DOI arXiv
Calaque, Damien; Dolgushev, Vasiliy; Halbout, Gilles Formality theorems for Hochschild chains in the Lie algebroid setting. (English) Zbl 1141.53084 J. Reine Angew. Math. 612, 81-127 (2007). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 16E40 16E45 17B56 PDFBibTeX XMLCite \textit{D. Calaque} et al., J. Reine Angew. Math. 612, 81--127 (2007; Zbl 1141.53084) Full Text: DOI arXiv
Waldmann, Stefan States and representations in deformation quantization. (English) Zbl 1138.53316 Rev. Math. Phys. 17, No. 1, 15-75 (2005). MSC: 53D55 46L65 53D17 81S10 PDFBibTeX XMLCite \textit{S. Waldmann}, Rev. Math. Phys. 17, No. 1, 15--75 (2005; Zbl 1138.53316) Full Text: DOI arXiv
Cattaneo, Alberto; Keller, Bernhard; Torossian, Charles; Bruguières, Alain Deformation, quantization, Lie theory. (Déformation, quantification, théorie de Lie.) (English, French) Zbl 1093.53095 Panoramas et Synthèses 20. Paris: Société Mathématique de France (ISBN 2-85629-183-X/pbk). vii, 186 p. (2005). Reviewer: Benjamin Cahen (Metz) MSC: 53D55 16E40 53D17 81S10 22E45 PDFBibTeX XMLCite \textit{A. Cattaneo} et al., Déformation, quantification, théorie de Lie. Paris: Société Mathématique de France (SMF) (2005; Zbl 1093.53095) Backlinks: MO
Neumaier, N.; Pflaum, M. J.; Posthuma, H. B.; Tang, Xiang Homology of formal deformations of proper étale Lie groupoids. (English) Zbl 1246.53120 J. Reine Angew. Math. 593, 117-168 (2006). MSC: 53D55 16E40 58H05 58H15 PDFBibTeX XMLCite \textit{N. Neumaier} et al., J. Reine Angew. Math. 593, 117--168 (2006; Zbl 1246.53120) Full Text: DOI arXiv
Bursztyn, Henrique; Waldmann, Stefan Algebraic Rieffel induction, formal Morita equivalence, and applications to deformation quantization. (English) Zbl 1039.46052 J. Geom. Phys. 37, No. 4, 307-364 (2001). Reviewer: Jan Hamhalter (Praha) MSC: 46L55 53D55 16D90 22D30 PDFBibTeX XMLCite \textit{H. Bursztyn} and \textit{S. Waldmann}, J. Geom. Phys. 37, No. 4, 307--364 (2001; Zbl 1039.46052) Full Text: DOI arXiv
Penkava, Michael; Vanhaecke, Pol Deformation quantization of polynomial Poisson algebras. (English) Zbl 0986.17007 J. Algebra 227, No. 1, 365-393 (2000). Reviewer: Janusz Grabowski (Warszawa) MSC: 17B63 53D55 PDFBibTeX XMLCite \textit{M. Penkava} and \textit{P. Vanhaecke}, J. Algebra 227, No. 1, 365--393 (2000; Zbl 0986.17007) 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 PDFBibTeX XMLCite \textit{B. Dherin} and \textit{F. Wagemann}, Adv. Math. 270, 21--48 (2015; Zbl 1362.17004) Full Text: DOI arXiv
Bonechi, F.; Ciccoli, N.; Tarlini, M. Noncommutative instantons on the 4-sphere from quantum groups. (English) Zbl 0992.81039 Commun. Math. Phys. 226, No. 2, 419-432 (2002). MSC: 81R50 81R60 57R17 58B32 53D55 55N25 16W30 PDFBibTeX XMLCite \textit{F. Bonechi} et al., Commun. Math. Phys. 226, No. 2, 419--432 (2002; Zbl 0992.81039) Full Text: DOI arXiv