Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space
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| Creator |
Zhang, J.
Hu, N. |
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| 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).
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| Date |
2019-02-19T19:45:56Z
2019-02-19T19:45:56Z 2017 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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