Dirac Operators in Representation Theory

This monograph presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Dirac operators are widely used in physics, differential geometry, and group-theoretic settings (particularly, the geometric construction of discrete series representations). The related...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Huang, Jing-Song (Autor), Pandzic, Pavle (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Edición:1st ed. 2006.
Colección:Mathematics: Theory & Applications
Temas:
Topological groups.
Lie groups.
Group theory.
Geometry, Differential.
Operator theory.
Mathematical physics.
Topological Groups and Lie Groups.
Group Theory and Generalizations.
Differential Geometry.
Operator Theory.
Mathematical Methods in Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Lie Groups, Lie Algebras and Representations
  • Clifford Algebras and Spinors
  • Dirac Operators in the Algebraic Setting
  • A Generalized Bott-Borel-Weil Theorem
  • Cohomological Induction
  • Properties of Cohomologically Induced Modules
  • Discrete Series
  • Dimensions of Spaces of Automorphic Forms
  • Dirac Operators and Nilpotent Lie Algebra Cohomology
  • Dirac Cohomology for Lie Superalgebras.

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