D-Modules, Perverse Sheaves, and Representation Theory

D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hotta, Ryoshi (Autor), Takeuchi, Kiyoshi (Autor), Tanisaki, Toshiyuki (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008.
Edición:1st ed. 2008.
Colección:Progress in Mathematics, 236
Temas:
Algebra.
Group theory.
Topological groups.
Lie groups.
Commutative algebra.
Commutative rings.
Algebraic geometry.
Group Theory and Generalizations.
Topological Groups and Lie Groups.
Commutative Rings and Algebras.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • D-Modules and Perverse Sheaves
  • Preliminary Notions
  • Coherent D-Modules
  • Holonomic D-Modules
  • Analytic D-Modules and the de Rham Functor
  • Theory of Meromorphic Connections
  • Regular Holonomic D-Modules
  • Riemann-Hilbert Correspondence
  • Perverse Sheaves
  • Representation Theory
  • Algebraic Groups and Lie Algebras
  • Conjugacy Classes of Semisimple Lie Algebras
  • Representations of Lie Algebras and D-Modules
  • Character Formula of HighestWeight Modules
  • Hecke Algebras and Hodge Modules.

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