Invariant differential operators . Volume 1 Noncompact semisimple lie algebras and groups / / Vladimir K. Dobrev
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| Autore: |
Dobrev Vladimir K.
|
| Titolo: |
Invariant differential operators . Volume 1 Noncompact semisimple lie algebras and groups / / Vladimir K. Dobrev
|
| Pubblicazione: | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
| ©2016 | |
| Descrizione fisica: | 1 online resource (422 pages) : illustrations |
| Disciplina: | 512.55 |
| Soggetto topico: | Lie algebras |
| Lie groups | |
| Differential invariants | |
| Nota di bibliografia: | Includes bibliographical references and indexes. |
| Nota di contenuto: | Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Lie Algebras and Groups -- 3. Real Semisimple Lie Algebras -- 4. Invariant Differential Operators -- 5. Case of the Anti-de Sitter Group -- 6. Conformal Case in 4D -- 7. Kazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations -- 8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras -- 9. Multilinear Invariant Differential Operators from New Generalized Verma Modules -- Bibliography -- Author Index -- Subject Index -- Backmatter |
| Sommario/riassunto: | With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents:IntroductionLie Algebras and GroupsReal Semisimple Lie AlgebrasInvariant Differential OperatorsCase of the Anti-de Sitter GroupConformal Case in 4DKazhdan-Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant EquationsInvariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie AlgebrasMultilinear Invariant Differential Operators from New Generalized Verma ModulesBibliographyAuthor IndexSubject Index |
| Titolo autorizzato: | Invariant differential operators |
| ISBN: | 3-11-042765-6 |
| 3-11-042780-X | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910820963703321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
De Gruyter studies in mathematical physics ; ; Volume 35.