Nonclassical representations of the nonstandard deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1})

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dc.creatorIorgov, N. Z.
dc.creatorKlimyk, A. U.
dc.date1999-05-11
dc.date.accessioned2026-07-07T05:29:01Z
dc.date.available2026-07-07T05:29:01Z
dc.descriptionThe aim of this paper is to announce the results on irreducible nonclassical type representations of the nonstandard q-deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1}) of the universal enveloping algebras of the Lie algebras so(n,C), iso_n and so_{n,1} when q is a real number (the algebra U'_q(so_{n,1}) is a real form of the algebra U'_q(so_{n+1})). These representations are characterized by the properties that they are singular at the point q=1.
dc.description14 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9905059
dc.identifierhttp://arxiv.org/abs/math/9905059
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78480
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.titleNonclassical representations of the nonstandard deformations U'_q(so_n), U_q(iso_n) and U'_q(so_{n,1})
dc.typetext

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