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Dirac Operators in Representation Theory (2006)

Dirac Operators in Representation Theory (2006)

by Huang, Jing-Song
No customer reviews yet ISBN 9780817632182

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 concept of Dirac cohomology, which is defined using Dirac operators, is a far-reaching generalization that connects index theory in differential geometry to representation theory. 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 provides 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.

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Pub dateJul 27, 2006
ISBN-100817632182
ISBN-139780817632182
LanguageEnglish
Last updated 2026-03-13 04:56
$114.64
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