Deformation quantization for actions of Rd /

This work describes a general construction of a deformation quantization for an Poisson bracket on a manifold which comes from an action of [italic capital]R[superscript italic]d on that manifold. These deformations quantizations are strict, in the sense that the deformed product of any two function...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Rieffel, Marc A. (Marc Aristide), 1937-
Format: Electronic eBook
Language:Inglés
Published: Providence, RI : American Mathematical Society, 1993.
Series:Memoirs of the American Mathematical Society ; no. 506.
Subjects:
Quantum groups.
Homotopy groups.
Poisson manifolds.
C*-algebras.
Mathematical physics.
Groupes quantiques.
Groupes d'homotopie.
Variétés de Poisson.
C*-algèbres.
Physique mathématique.
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
C*-algebras
Homotopy groups
Mathematical physics
Poisson manifolds
Quantum groups
Online Access:Texto completo
Table of Contents:
  • Oscillatory integrals
  • The deformed product
  • Function algebras
  • The algebra of bounded operators
  • Functoriality for the operator norm
  • Norms of deformed deformations
  • Smooth vectors, and exactness
  • Continuous fields
  • Strict deformation quantization
  • Old examples
  • The quantum Euclidean closed disk and quantum quadrant
  • The algebraists quantum plane, and quantum groups.

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