Representations of the qdeformed algebra $U'_q(so_{2,2})$
Abstract
The main aim of this paper is to give classes of irreducible infinite dimensional representations and of irreducible $*$representations of the qdeformed algebra $U'_q(so_{2,2})$ which is a real form of the nonstandard 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 $U(so_2\oplus so_2)$.
 Publication:

eprint arXiv:qalg/9709035
 Pub Date:
 September 1997
 DOI:
 10.48550/arXiv.qalg/9709035
 arXiv:
 arXiv:qalg/9709035
 Bibcode:
 1997q.alg.....9035K
 Keywords:

 Mathematics  Quantum Algebra;
 16G99 17B37 81R50
 EPrint:
 15 pages, LaTeX