Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials

Details Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials

2000-03-18

arxiv.org/abs/math/0003110v1

J. Phys. A33 (2000) 3735-3752

Mathematics

Quantum Algebra

25pp, LaTeX2e, No figures, to be published in J. Phys. A

Scientific paper

10.1088/0305-4470/33/20/302

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.

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