Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$

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dc.creatorKlimyk, A. U.
dc.date1999-11-16
dc.date.accessioned2026-07-07T05:31:38Z
dc.date.available2026-07-07T05:31:38Z
dc.descriptionWe describe properties of the nonstandard q-deformation $U'_q({\rm so}_n)$ of the universal enveloping algebra $U({\rm so}_n)$ of the Lie algebra ${\rm so}_n$ which does not coincide with the Drinfeld--Jimbo quantum algebra $U_q({\rm so}_n)$. Irreducible representations of this algebras for q a root of unity q^p=1 are given. These representations act on p^N-dimensional linear space (where N is a number of positive roots of the Lie algebra ${\rm so}_n$) and are given by $r={\rm dim} {\rm so}_n$ complex parameters.
dc.description5 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9911114
dc.identifierhttp://arxiv.org/abs/math/9911114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79415
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleNonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$
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