Deformation Quantization for Actions of Kählerian Lie Groups

DOI10.1090/memo/1115zbMath1323.22005arXiv1109.3419OpenAlexW2011039432MaRDI QIDQ2944993

Pierre Bieliavsky, Victor Gayral

Publication date: 9 September 2015

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3419

zbMATH Keywords

symmetric spacesnoncommutative geometrycoherent statesstrict deformation quantizationdeformation of \(C^\ast\)-algebrasrepresentation theory of Lie groupsnoncommutative harmonic analysissymplectic Lie groups

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Coherent states (81R30) Noncommutative geometry in quantum theory (81R60) Deformation quantization, star products (53D55) Differential geometry of symmetric spaces (53C35) Noncommutative geometry (à la Connes) (58B34)

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