Dirac Operators in Representation Theory

Dirac Operators in Representation Theory
Author: Jing-Song Huang
Publisher: Springer Science & Business Media
Total Pages: 205
Release: 2007-05-27
Genre: Mathematics
ISBN: 0817644938


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This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. 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 is 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.


Dirac Operators in Representation Theory
Language: en
Pages: 205
Authors: Jing-Song Huang
Categories: Mathematics
Type: BOOK - Published: 2007-05-27 - Publisher: Springer Science & Business Media

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This book presents a comprehensive treatment of important new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the auth
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Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior undergraduates and graduate
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Language: en
Pages: 346
Authors: John E. Gilbert
Categories: Mathematics
Type: BOOK - Published: 1991-07-26 - Publisher: Cambridge University Press

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The aim of this book is to unite the seemingly disparate topics of Clifford algebras, analysis on manifolds, and harmonic analysis. The authors show how algebra
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Pages: 540
Authors: Victor G. Kac
Categories: Mathematics
Type: BOOK - Published: 2018-12-12 - Publisher: Springer

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This volume, dedicated to the memory of the great American mathematician Bertram Kostant (May 24, 1928 – February 2, 2017), is a collection of 19 invited pape
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Language: en
Pages: 384
Authors: Nicole Berline
Categories: Mathematics
Type: BOOK - Published: 2003-12-08 - Publisher: Springer Science & Business Media

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In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations