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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rieffel, Marc A. (Marc Aristide), 1937-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, RI : American Mathematical Society, 1993.
Colección:Memoirs of the American Mathematical Society ; no. 506.
Temas:
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
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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