Quantum Group Representations and Baxter Equation
Alexander Antonov, Boris Feigin
Abstract
In this paper we propose algebraic universal procedure for deriving "fusion rules" and Baxter equation for any integrable model with Uq(sl2) symmetry of Quantum Inverse Scattering Method. Universal Baxter Q- operator is got from the certain infinite dimensional representation called q-oscillator one of the Universal R- matrix for Uq(sl2) affine algebra (first proposed by V. Bazhanov, S.Lukyanov and A.Zamolodchikov for quantum KdV case). We also examine the algebraic properties of Q-operator.
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