General theory of lie groupoids and lie algebroids /

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry, in particular their relations with Poisson geometry and general connection theory. It covers much work done since the mid 1980s including the first treatment in book...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mackenzie, K. (Kirill)
Autor Corporativo: London Mathematical Society
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [England] ; New York : Cambridge University Press, 2005.
Colección:London Mathematical Society lecture note series ; 213.
Temas:
Lie groupoids.
Lie algebroids.
Vector bundles.
Connections (Mathematics)
Lie, Groupoïdes de.
Algébroïdes de Lie.
Fibrés vectoriels.
Connections (Mathématiques)
MATHEMATICS > Algebra > Intermediate.
Lie algebroids
Lie groupoids
Vector bundles
Lie-groepen.
Lie-algebra's.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Lie groupoids : fundamental theory
  • 2. Lie groupoids : algebraic constructions
  • 3. Lie algebroids : fundamental theory
  • 4. Lie algebroids : algebraic constructions
  • 5. Infinitesimal connection theory
  • 6. Path connections and lie theory
  • 7. Cohomology and Schouten calculus
  • 8. The cohomological obstruction
  • 9. Double vector bundles
  • 10. Poisson structures and lie algebroids
  • 11. Poisson and symplectic groupoids
  • 12. Lie bialgebroids.

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