Quantum volterra model and the universalR-matrix
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We prove that an integrable system solved by the quantum inverse scattering method can be described by a purely algebraic object (universal R-matrix) and a proper algebraic representation. For the quantum Volterra model, we construct the L-operator and the fundamental R-matrix from the universal R-matrix for the quantum affine algebra Uq(ŝl2) and the q-oscillator representation for it. Thus, there is an equivalence between an integrable system with the symmetry algebra A and the representation of this algebra.
KeywordsImaginary Root Quantum Space Volterra Model Auxiliary Space Baxter Operator
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