Poisson Geometry, Deformation Quantisation and Group Representations /

An accessible introduction to Poisson geometry suitable for graduate students.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Gutt, Simone, Rawnsley, John, Sternheimer, Daniel
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2005.
Colección:London Mathematical Society lecture note series ; no. 323.
Temas:
Poisson manifolds.
Poisson algebras.
Representations of groups.
Variétés de Poisson.
Algèbres de Poisson.
Représentations de groupes.
MATHEMATICS > Geometry > Differential.
Poisson algebras
Poisson manifolds
Representations of groups
Lie-Gruppoid
Gruppentheorie
Poisson-Mannigfaltigkeit
Darstellungstheorie
Geometrische Methode
Acceso en línea:Texto completo
Tabla de Contenidos:
  • pt. 1. Poisson geometry and Morita equivalence
  • 1. Introduction
  • 2. Poisson geometry and some generalizations
  • 3. Algebraic Morita equivalence
  • 4. Geometric Morita equivalence
  • 5. Geometric representation equivalence
  • pt. 2. Formality and star products
  • 1. Introduction
  • 2. The star product
  • 3. Rephrasing the main problem : the formality
  • 4. Digression : what happens in the dual
  • 5. The Kontsevich formula
  • 6. From local to global deformation quantization
  • pt. 3. Lie groupoids, sheaves and cohomology
  • 1. Introduction
  • 2. Lie groupoids
  • 3. Sheaves on Lie groupoids
  • 4. Sheaf cohomology
  • 5. Compactly supported cohomology
  • pt. 4. Geometric methods in representation theory.

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