Representations of quantum algebra U_q(u_{n,1})

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dc.creatorGroza, V. A.
dc.creatorIorgov, N. Z.
dc.creatorKlimyk, A. U.
dc.date1998-05-07
dc.date.accessioned2026-07-07T05:24:42Z
dc.date.available2026-07-07T05:24:42Z
dc.descriptionInfinite dimensional representations of the real form U_q(u_{n,1}) of the Drinfeld--Jimbo algebra U_q(gl_{n+1}) are defined. The principal series of representations of U_q(u_{n,1}) is studied. Intertwining operators for pairs of the principal series representations are calculated in an explicit form. The structure of reducible representations of the principal series is determined. Irreducible representations of U_q(u_{n,1}), obtained from irreducible and reducible principal series representations, are classified. All *-representations in this set of irreducible representations are separated. Unlike the classical case, the algebra U_q(u_{n,1}) has finite dimensional irreducible *-representations.
dc.description25 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9805032
dc.identifierhttp://arxiv.org/abs/math/9805032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76904
dc.subjectQuantum Algebra
dc.titleRepresentations of quantum algebra U_q(u_{n,1})
dc.typetext

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