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Dirac Operators in Representation Theory

Jing-Song Huang and Pavle Pandžić
Publisher: 
Birkhäuser
Publication Date: 
2006
Number of Pages: 
199
Format: 
Hardcover
Series: 
Mathematics: Theory and Applications
Price: 
59.95
ISBN: 
0817632182
Category: 
Monograph
We do not plan to review this book.

 Preface.- 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.- References.- Index.