Invariant differential operators: Volume 2 Quantum groups
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: quan...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2017]
|
| Series: | De Gruyter studies in mathematical physics
Band 39 |
| Subjects: | |
| Online Access: | DE-1043 DE-1046 DE-858 DE-M347 DE-898 DE-859 DE-860 DE-739 Volltext |
| Summary: | 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 |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Jul 2017) |
| Physical Description: | 1 Online-Ressource (XI, 393 Seiten) Illustrationen, Diagramme |
| ISBN: | 9783110427707 9783110427783 |
| DOI: | 10.1515/9783110427707 |
Staff View
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| id | DE-604.BV044435991 |
| illustrated | Illustrated |
| indexdate | 2025-02-18T15:09:42Z |
| institution | BVB |
| isbn | 9783110427707 9783110427783 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029837277 |
| oclc_num | 999365329 |
| open_access_boolean | |
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| owner_facet | DE-859 DE-860 DE-898 DE-BY-UBR DE-739 DE-M347 DE-1046 DE-1043 DE-858 DE-11 |
| physical | 1 Online-Ressource (XI, 393 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-23-DGG ZDB-23-DPC ZDB-23-DPC17 ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DPC ZDB-23-DPC17 ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UPA_PDA_DGG |
| publishDate | 2017 |
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| publisher | De Gruyter |
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| series | De Gruyter studies in mathematical physics |
| series2 | De Gruyter studies in mathematical physics |
| spelling | Dobrev, Vladimir K. Verfasser (DE-588)1035099098 aut Invariant differential operators Volume 2 Quantum groups Vladimir K. Dobrev Berlin ; Boston De Gruyter [2017] 1 Online-Ressource (XI, 393 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier De Gruyter studies in mathematical physics Band 39 De Gruyter studies in mathematical physics Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Jul 2017) 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 In English Invarianter Differentialoperator (DE-588)4162210-8 gnd rswk-swf Quantengruppe (DE-588)4252437-4 gnd rswk-swf Invarianter Differentialoperator (DE-588)4162210-8 s Quantengruppe (DE-588)4252437-4 s DE-604 (DE-604)BV044211192 2 Erscheint auch als Druck-Ausgabe 978-3-11-043543-6 De Gruyter studies in mathematical physics Band 39 (DE-604)BV042029665 39 https://doi.org/10.1515/9783110427707 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Dobrev, Vladimir K. Invariant differential operators De Gruyter studies in mathematical physics Invarianter Differentialoperator (DE-588)4162210-8 gnd Quantengruppe (DE-588)4252437-4 gnd |
| subject_GND | (DE-588)4162210-8 (DE-588)4252437-4 |
| title | Invariant differential operators |
| title_auth | Invariant differential operators |
| title_exact_search | Invariant differential operators |
| title_full | Invariant differential operators Volume 2 Quantum groups Vladimir K. Dobrev |
| title_fullStr | Invariant differential operators Volume 2 Quantum groups Vladimir K. Dobrev |
| title_full_unstemmed | Invariant differential operators Volume 2 Quantum groups Vladimir K. Dobrev |
| title_short | Invariant differential operators |
| title_sort | invariant differential operators quantum groups |
| topic | Invarianter Differentialoperator (DE-588)4162210-8 gnd Quantengruppe (DE-588)4252437-4 gnd |
| topic_facet | Invarianter Differentialoperator Quantengruppe |
| url | https://doi.org/10.1515/9783110427707 |
| volume_link | (DE-604)BV044211192 (DE-604)BV042029665 |
| work_keys_str_mv | AT dobrevvladimirk invariantdifferentialoperatorsvolume2 |