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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| Hlavní autoři: | , , |
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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Boston, MA :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| Edice: | Mathematics: Theory & Applications
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| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 22 mars 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Dirac operators in representation theory, Jing-Song Huang, Pavle Pandzic, Boston, Birkhäuser, 2006, 1 vol. (X-199 p.), Mathematics, theory & applications, 0-8176-3218-2 |
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| 100 | 1 | |a Huang, Jing-Song, |c mathématicien. | |
| 245 | 1 | 0 | |a Dirac operators in representation theory |c Jing-Song Huang, Pavle Pandžic. |
| 260 | |a Boston, MA : |b Birkhäuser Boston : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Mathematics: Theory & Applications | |
| 500 | |a Description d'après consultation du 22 mars 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [193]-196. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. Key topics covered include: * Proof of Vogan's conjecture on Dirac cohomology * Simple proofs of many classical theorems, such as the Bott Borel Weil theorem and the Atiyah Schmid theorem * Dirac cohomology, defined by Kostant's cubic Dirac operator, along with other closely related kinds of cohomology, such as n-cohomology and (g,K)-cohomology * Cohomological parabolic induction and | ||
| 650 | |a Représentations de groupes | ||
| 650 | |a Équation de Dirac | ||
| 650 | |a Opérateurs différentiels | ||
| 700 | 1 | |a Pandžzíć, Pavle. |4 aut | |
| 700 | 1 | |a Pandžić, Pavle. |4 aut | |
| 776 | 0 | |0 109238001 |t Dirac operators in representation theory |f Jing-Song Huang, Pavle Pandzic |c Boston |n Birkhäuser |d 2006 |p 1 vol. (X-199 p.) |s Mathematics, theory & applications |z 0-8176-3218-2 | |
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