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

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.

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

References in corpus (10)

• Extended jordanian twists for Lie algebras
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Cited by in corpus (2)

• Duality for Exotic Bialgebras
• Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials