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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Autori principali: Huang, Jing-Song, mathématicien, Pandžzíć, Pavle (Autore), Pandžić, Pavle (Autore)
Natura: Livre numérique
Lingua:Anglais
Pubblicazione: Boston, MA : Birkhäuser Boston : Springer e-books [20..].
Cham : Springer Nature
Serie:Mathematics: Theory & Applications
Soggetti:
Accesso online:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Nota: Description d'après consultation du 22 mars 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Dirac operators in representation theory, Jing-Song Huang, Pavle Pandzic, Boston, Birkhäuser, 2006, 1 vol. (X-199 p.), Mathematics, theory & applications, 0-8176-3218-2
Sommario:
  • 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