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Dirac Operators in Representation Theory
eBook - Mathematics: Theory & Applications
ISBN/EAN: 9780817644932
Umbreit-Nr.: 1801765
Sprache:
Englisch
Umfang: 200 S., 1.44 MB
Format in cm:
Einband:
Keine Angabe
Erschienen am 27.05.2007
Auflage: 1/2007
E-Book
Format: PDF
DRM: Digitales Wasserzeichen
- Zusatztext
- <P>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.</P><P>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.</P>
- Kurztext
- <p>A comprehensive treatment of new ideas on Dirac operators and Dirac cohomology. Using Dirac operators as a unifying theme, the authors demonstrate how many of the important results in representation theory fit together when viewed from this perspective.</p>