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UNINA9910467607903321 |
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Autore |
Dobrev Vladimir K. |
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Titolo |
Invariant differential operators . Volume 1 Noncompact semisimple lie algebras and groups / / Vladimir K. Dobrev |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
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©2016 |
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ISBN |
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3-11-042765-6 |
3-11-042780-X |
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Descrizione fisica |
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1 online resource (422 pages) : illustrations |
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Collana |
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De Gruyter Studies in Mathematical Physics, , 2194-3532 ; ; Volume 35 |
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Disciplina |
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Soggetti |
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Lie algebras |
Lie groups |
Differential invariants |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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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 |
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