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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 245, Pages 107–129
(Mi znsl536)
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Fusion of $q$-tensor operators: quasi-Hopf-algebraic point of view
A. G. Bytsko St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Abstract:
We discuss the fusion of tensor operators for $U_q(\mathscr J)$ by means of the $R$-matrix approach. The problem is reduced to construction of the twisting element $\mathscr J$ which appears in Drinfeld's description of quasi-Hopf algebras. The discussion is illustrated by explicit calculations for the case of $U_q(sl(2))$.
Received: 23.04.1996
Citation:
A. G. Bytsko, “Fusion of $q$-tensor operators: quasi-Hopf-algebraic point of view”, Questions of quantum field theory and statistical physics. Part 14, Zap. Nauchn. Sem. POMI, 245, POMI, St. Petersburg, 1997, 107–129; J. Math. Sci. (New York), 100:2 (2000), 2077–2091
Linking options:
https://www.mathnet.ru/eng/znsl536 https://www.mathnet.ru/eng/znsl/v245/p107
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Abstract page: | 108 | Full-text PDF : | 57 |
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