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Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials | | N. Aizawa
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18 Mar 2000 | | Journal: | J. Phys. A33 (2000) 3735-3752 | | Subject: | Quantum Algebra | math.QA | | 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. | | Source: | arXiv, math.QA/0003110 | | Services: | Forum | Review | PDF | Favorites | |
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