Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space

Домашня сторінка
→
Фізико-технічні та математичні науки
→
Відділення математики
→
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
→
Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
→
Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік
→
Переглянути статтю

dc.contributor.author	Zhang, J.
dc.contributor.author	Hu, N.
dc.date.accessioned	2019-02-19T19:45:56Z
dc.date.available	2019-02-19T19:45:56Z
dc.date.issued	2017
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B10; 17B37; 20G42; 81R50; 81R60; 81T75
dc.identifier.other	DOI:10.3842/SIGMA.2017.084
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149279
dc.description.abstract	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).	uk_UA
dc.description.sponsorship	The authors would appreciate the referees for their useful comments and good suggestions for improving the paper. The first author is supported by the NSFC (Grants No. 11101258 and No. 11371238). The second author is supported by the NSFC (Grant No. 11771142).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Realization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Space	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA