Nonclassical representations of the nonstandard deformations U'q(son), Uq(ison) and U'q(son,1)
N. Z. Iorgov, A. U. Klimyk
Abstract
The aim of this paper is to announce the results on irreducible nonclassical type representations of the nonstandard q-deformations U'q(son), Uq(ison) and U'q(son,1) of the universal enveloping algebras of the Lie algebras so(n,C), ison and son,1 when q is a real number (the algebra U'q(son,1) is a real form of the algebra U'q(son+1)). These representations are characterized by the properties that they are singular at the point q=1.
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