Huang / Pandzic Dirac Operators in Representation Theory
2006
ISBN: 978-0-8176-4493-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 200 Seiten, eBook
Reihe: Mathematics: Theory & Applications
ISBN: 978-0-8176-4493-2
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how some of the most important results in representation theory fit together when viewed from this perspective. The book is an excellent contribution to the mathematical literature of representation theory, and this self-contained exposition offers a systematic examination and panoramic view of the subject. The material will be of interest to researchers and graduate students in representation theory, differential geometry, and physics.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
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.
