q-Weyl coefficients forU q (3) andq-Racah coefficients forSU q (2) |
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| Authors: | R. M. Asherova Yu. F. Smirnov V. N. Tolstoy |
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| Affiliation: | (1) Institute of Physics and Power Engineering, 249020 Obninsk, Russia;(2) Institute of Nuclear Physics, Moscow State University, 119899 Moscow, Russia;(3) Institute de Fisica, Universidad Nacional Autonoma de Mexico, Apartado Postal 20-364, 01000 Mexico, D. F. Mexico |
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| Abstract: | We show that theq-Weyl coefficients of the quantum algebraSUq(3) are equal to theq-Racah coefficients of the quantum algebraSUq(2) (up to a simple phase factor). Using aq-analog of the resummation procedure we obtain also theq-analogues of all known general analytical expressions for the 6j-symbols (or the Racah coefficients) of the quantum algebraSUq(2) starting from one such formula.Presented at the 4th Colloquium  Quantum groups and integrable systems , Prague, 22–24 June 1995.The research described in this publication was supported in part by Grants No. MB1000 and No. NRC000 from International Science Foundation. |
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