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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Datum:2017
Hauptverfasser: Zhang, J., Hu, N.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2017
Schriftenreihe:Symmetry, Integrability and Geometry: Methods and Applications
Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/149279
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine