Deformation quantization for actions of Kählerian lie groups /

Let mathbb{B} be a Lie group admitting a left-invariant negatively curved Kählerian structure. Consider a strongly continuous action alpha of mathbb{B} on a Fréchet algebra mathcal{A}. Denote by mathcal{A}^ infty the associated Fréchet algebra of smooth vectors for this action. In the Abelian c...

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Bibliographic Details
Main Authors: Bieliavsky, Pierre, 1970- (Author), Gayral, V. (Victor), 1979- (Author)
Format: Electronic eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2015.
Series:Memoirs of the American Mathematical Society ; no. 1115.
Subjects:
Online Access: Full text (Emmanuel users only)
Table of Contents:
  • Introduction
  • Oscillatory integrals
  • Tempered pairs for Kählerian Lie groups
  • Non-formal star-products
  • Deformation of Fréchet algebras
  • Quantization of polarized symplectic symmetric spaces
  • Quantization of Kählerian Lie groups
  • Deformation of C*-algebras
  • Bibliography.