Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space
We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its homogeneous subspaces. We give a coherence realization for all the positive root ve...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2017 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2017
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149279 |
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| Цитувати: | Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space / J. Zhang, N. Hu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 25 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149279 |
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dspace |
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irk-123456789-1492792019-02-20T01:23:29Z Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space Zhang, J. Hu, N. We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its homogeneous subspaces. We give a coherence realization for all the positive root vectors under the actions of Lusztig's braid automorphisms of Uq(sp₂n). 2017 Article Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space / J. Zhang, N. Hu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 25 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 17B10; 17B37; 20G42; 81R50; 81R60; 81T75 DOI:10.3842/SIGMA.2017.084 http://dspace.nbuv.gov.ua/handle/123456789/149279 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We realize the Hopf algebra Uq(sp₂n) as an algebra of quantum differential operators on the quantum symplectic space X(fs;R) and prove that X(fs;R) is a Uq(sp₂n)-module algebra whose irreducible summands are just its homogeneous subspaces. We give a coherence realization for all the positive root vectors under the actions of Lusztig's braid automorphisms of Uq(sp₂n). |
| format |
Article |
| author |
Zhang, J. Hu, N. |
| spellingShingle |
Zhang, J. Hu, N. Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zhang, J. Hu, N. |
| author_sort |
Zhang, J. |
| title |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space |
| title_short |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space |
| title_full |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space |
| title_fullStr |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space |
| title_full_unstemmed |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space |
| title_sort |
realization of uq(sp₂n) within the differential algebra on quantum symplectic space |
| publisher |
Інститут математики НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149279 |
| citation_txt |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space / J. Zhang, N. Hu // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 25 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT zhangj realizationofuqsp2nwithinthedifferentialalgebraonquantumsymplecticspace AT hun realizationofuqsp2nwithinthedifferentialalgebraonquantumsymplecticspace |
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2023-05-20T17:31:28Z |
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2023-05-20T17:31:28Z |
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1796153495413325824 |