Representations of the q-deformed 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 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 $U(so_2\oplus so_2)$.
- Publication:
-
eprint arXiv:q-alg/9709035
- Pub Date:
- September 1997
- DOI:
- 10.48550/arXiv.q-alg/9709035
- arXiv:
- arXiv:q-alg/9709035
- Bibcode:
- 1997q.alg.....9035K
- Keywords:
-
- Mathematics - Quantum Algebra;
- 16G99 17B37 81R50
- E-Print:
- 15 pages, LaTeX