Representations of the q-deformed algebra $U'_q(so_{2,2})$

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dc.creatorKlimyk, A. U.
dc.date1997-09-23
dc.date.accessioned2026-07-07T09:17:42Z
dc.date.available2026-07-07T09:17:42Z
dc.descriptionThe main aim of this paper is to give classes of irreducible infinite dimensional representations and of irreducible $*$-representations of the q-deformed algebra $U'_q(so_{2,2})$ which is a real form of the non-standard deformation $U'_q(so_4)$ of the universal enveloping algebra $U(so(4,C))$. These representations are described by two complex parameters and are obtained by "analytical continuation" of the irreducible finite dimensional representations of the algebra $U'_q(so_4)$ in the basis corresponding to the reduction from $U'_q(so_4)$ to $U(so_2\oplus so_2)$.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/q-alg/9709035
dc.identifierhttp://arxiv.org/abs/q-alg/9709035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153762
dc.subjectQuantum Algebra
dc.subject16G99 17B37 81R50
dc.titleRepresentations of the q-deformed algebra $U'_q(so_{2,2})$
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