Representations of the twisted quantized enveloping algebra of type C_n

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dc.creatorMolev, A. I.
dc.date2006-02-10
dc.date2006-06-03
dc.date.accessioned2026-07-07T09:24:59Z
dc.date.available2026-07-07T09:24:59Z
dc.descriptionWe prove a version of the Poincare-Birkhoff-Witt theorem for the twisted quantized enveloping algebra U'_q(sp_2n). This is a subalgebra of U_q(gl_2n) and a deformation of the universal enveloping algebra U(sp_2n) of the symplectic Lie algebra. We classify finite-dimensional irreducible representations of U'_q(sp_2n) in terms of their highest weights and show that these representations are deformations of the finite-dimensional irreducible representations of sp_2n.
dc.description26 pages, extended version, a proof of PBW theorem is added, specialization of modules at q=1 is described, minor corrections are made
dc.identifierhttps://arxiv.org/abs/math/0602206
dc.identifierhttp://arxiv.org/abs/math/0602206
dc.identifierMoscow Mathematical Journal, 6 (2006), 531--551.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156264
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject81R10
dc.titleRepresentations of the twisted quantized enveloping algebra of type C_n
dc.typetext

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