Fusion of q-tensor operators: quasi-Hopf-algebraic point of view

Details Fusion of q-tensor operators: quasi-Hopf-algebraic point of view Fusion of q-tensor operators: quasi-Hopf-algebraic point of view

1996-09-07

arxiv.org/abs/q-alg/9609007v3

Zap.Nauchn.Semin. POMI 245 (1997) 107-129; J.Math.Sciences 100 (2000) 2077-2091 (Engl. transl.)

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTex. Some corrections made, one subsection (3.4) added. Few references added

Scientific paper

Tensor operators associated with a given quantum Lie algebra admit a natural description in the R-matrix language. Here we employ the R-matrix approach to discuss the problem of fusion of tensor operators. The most interesting case is provided by the quantum WZNW model, where, by construction, we deal with sets of linearly independent tensor operators. In this case the fusion problem is equivalent to construction of an analogue F(p) of the twisting element F which is employed in Drinfeld's description of quasi-Hopf algebras. We discuss the construction of the twisting element F(p) in a general situation and give illustrating calculations for the case of the fundamental representation of U_q(sl(2)).

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