68 citations · 133 across the 7 of their papers we have counts for
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On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model
A. Antonov, K. Hasegawa, A. Zabrodin
We elaborate the trigonometric version of intertwining vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. Th…
Universal R-matrix and Quantum Volterra Model
Alexander Antonov
In this paper we explicitly prove that Integrable System solved by Quantum Inverse Scattering Method can be described with the pure algebraic object (Universal R-matrix) and proper…
Quantum Group Representations and Baxter Equation
Alexander Antonov, Boris Feigin
In this paper we propose algebraic universal procedure for deriving "fusion rules" and Baxter equation for any integrable model with symmetry of Quantum Inver…
Geometrical Description of the Local Integrals of Motion of Maxwell-Bloch Equation
A. V. Antonov, A. A. Belov, B. L. Feigin
We represent a classical Maxwell-Bloch equation and related to it positive part of the AKNS hierarchy in geometrical terms. The Maxwell-Bloch evolution is given by an infinitesimal…