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q-Weyl coefficients forU q (3) andq-Racah coefficients forSU q (2)
Authors:R. M. Asherova  Yu. F. Smirnov  V. N. Tolstoy
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
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 ldquoQuantum groups and integrable systemsrdquo, 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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