Dirac Operators in Representation Theory - Couverture rigide

Huang, Jing-Song; Pandzic, Pavle

 
9780817632182: Dirac Operators in Representation Theory

Synopsis

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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Autres éditions populaires du même titre

9780817670320: Dirac Operators in Representation Theory

Edition présentée

ISBN 10 :  0817670327 ISBN 13 :  9780817670320
Editeur : Springer, 2008
Couverture souple