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

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dc.contributor.authorZhang, J.
dc.contributor.authorHu, N.
dc.date.accessioned2019-02-19T19:45:56Z
dc.date.available2019-02-19T19:45:56Z
dc.date.issued2017
dc.description.abstractWe 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.sponsorshipThe 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.identifier.citationRealization 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 17B10; 17B37; 20G42; 81R50; 81R60; 81T75
dc.identifier.otherDOI:10.3842/SIGMA.2017.084
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149279
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleRealization of Uq(sp₂n) within the Differential Algebra on Quantum Symplectic Spaceuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13, випуск за цей рік