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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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Huang, Jing-Song (Auteur), Pandzic, Pavle (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2006.
Édition:1st ed. 2006.
Collection:Mathematics: Theory & Applications
Sujets:
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.
Accès en ligne:Texto Completo
Table des matières:
  • 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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