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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Dirac Operators in Representation Theory

Dirac Operators in Representation Theory

Huang, Jing-Song
Pandzic, Pavle

Hardcover

Series: Mathematics: Theory & Applications

AlgebraGeneral Mathematics

ISBN10: 0817632182
ISBN13: 9780817632182
Publisher: Springer Nature
Published: Jul 27 2006
Pages: 200
Weight: 1.08
Height: 0.65 Width: 6.32 Depth: 9.36
Language: English

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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