Dirac Operators in Representation Theory
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...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston
2006.
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| Colección: | Mathematics : Theory & Applications.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32740414*spi |
Tabla de Contenidos:
- Lie Groups, Lie Algebras and Representations
- Clifford Algebras and Spinors
- Dirac Operators in the Algebraic Setting
- A Generalized Bott-Borel-Weil Theorem
- Cohomological Induction
- Properties of Cohomologically Induced Modules
- Discrete Series
- Dimensions of Spaces of Automorphic Forms
- Dirac Operators and Nilpotent Lie Algebra Cohomology
- Dirac Cohomology for Lie Superalgebras.
