Invariant differential operators . Volume 2 Quantum groups / / Vladimir K. Dobrev
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| Autore: |
Dobrev Vladimir K.
|
| Titolo: |
Invariant differential operators . Volume 2 Quantum groups / / Vladimir K. Dobrev
|
| Pubblicazione: | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2017 |
| ©2017 | |
| Descrizione fisica: | 1 online resource (396 pages) |
| Disciplina: | 512.55 |
| Soggetto topico: | Quantum groups |
| Differential invariants | |
| Differential operators | |
| Nota di bibliografia: | Includes bibliographical references and indexes. |
| Nota di contenuto: | Frontmatter -- Preface -- Contents -- 1 Quantum Groups and Quantum Algebras -- 2 Highest-Weight Modules over Quantum Algebras -- 3 Positive-Energy Representations of Noncompact Quantum Algebras -- 4 Duality for Quantum Groups -- 5 Invariant q-Difference Operators -- 6 Invariant q-Difference Operators Related to GLq(n) -- 7 q-Maxwell Equations Hierarchies -- Bibliography -- Author Index -- Subject Index |
| Sommario/riassunto: | With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups. ContentsQuantum Groups and Quantum AlgebrasHighest-Weight Modules over Quantum AlgebrasPositive-Energy Representations of Noncompact Quantum AlgebrasDuality for Quantum GroupsInvariant q-Difference OperatorsInvariant q-Difference Operators Related to GLq(n)q-Maxwell Equations Hierarchies |
| Titolo autorizzato: | Invariant differential operators |
| ISBN: | 3-11-042778-8 |
| 3-11-042770-2 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996328047203316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
De Gruyter studies in mathematical physics ; ; Volume 39.