Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials
Quantum Algebra
2009-10-31 v1
Abstract
The explicit expressions of the representation functions (D-functions) for Jordanian quantum group SL_h(2) are obtained by combination of tensor operator technique and Drinfeld twist. It is shown that the D-functions can be expressed in terms of Jacobi polynomials as the undeformed D-functions can. Some of the important properties of the D-functions for SL_h(2) such as Winger's product law, recurrence relations, RTT type relations are also presented.
Cite
@article{arxiv.math/0003110,
title = {Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials},
author = {N. Aizawa},
journal= {arXiv preprint arXiv:math/0003110},
year = {2009}
}
Comments
25pp, LaTeX2e, No figures, to be published in J. Phys. A