Dirac Operators in Representation Theory eBook

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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. An excellent contribution to the mathematical literature of representation theory, 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.

This is a digital product.

Dirac Operators in Representation Theory is written by Jing-Song Huang; Pavle Pandzic and published by Birkhäuser. The Digital and eTextbook ISBNs for Dirac Operators in Representation Theory are 9780817644932, 0817644938 and the print ISBNs are 9780817632182, 0817632182.