SL_q(2,R) at Roots of Unity
Quantum Algebra
2009-10-31 v2
Abstract
The quantum group SL_q(2,R) at roots of unity is introduced by means of duality pairings with the quantum algebra U_q(sl(2,R)). Its irreducible representations are constructed through the universal T-matrix. An invariant integral on this quantum group is given. Endowed with that some properties like unitarity and orthogonality of the irreducible representations are discussed.
Cite
@article{arxiv.math/9809052,
title = {SL_q(2,R) at Roots of Unity},
author = {H. Ahmedov and O. F. Dayi},
journal= {arXiv preprint arXiv:math/9809052},
year = {2009}
}
Comments
17 pages. Some misprints corrected