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

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

1999-05-11

arxiv.org/abs/math/9905059v1

Mathematics

Quantum Algebra

14 pages, LaTeX

Scientific paper

The 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.

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