Classification theorem on irreducible representations of the q-deformed algebra U'_q(so(n))

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dc.creatorIorgov, N. Z.
dc.creatorKlimyk, A. U.
dc.date2007-02-16
dc.date.accessioned2026-07-07T07:47:21Z
dc.date.available2026-07-07T07:47:21Z
dc.descriptionThe aim of this paper is to give a complete classification of irreducible finite dimensional representations of the nonstandard q-deformation U'_q(so(n)) (which does not coincide with the Drinfeld-Jimbo quantum algebra U_q(so(n)) of the universal enveloping algebra U(so(n,C)) of the Lie algebra so(n,C) when q is not a root of unity. These representations are exhausted by irreducible representations of the classical type and of the nonclassical type. Theorem on complete reducibility of finite dimensional representations of U'_q(so(n)) is proved.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/math/0702482
dc.identifierhttp://arxiv.org/abs/math/0702482
dc.identifierInt. J. Math. Math. Sci. vol.2005, No.2 (2005), 225-262
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124134
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleClassification theorem on irreducible representations of the q-deformed algebra U'_q(so(n))
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