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q-alg1997★ 13 cited
R-matrix Quantization of the Elliptic Ruijsenaars--Schneider model
G. E. Arutyunov, L. O. Chekhov, S. A. Frolov
It is shown that the classical L-operator algebra of the elliptic Ruijsenaars-Schneider model can be realized as a subalgebra of the algebra of functions on the cotangent bundle ov…
q-alg1996★ 1 cited
Quantum Dynamical R-matrices and Quantum Frobenius Group
G. E. Arutyunov, S. A. Frolov
We propose an algebraic scheme for quantizing the rational Ruijsenaars-Schneider model in the R-matrix formalism. We introduce a special parameterization of the cotangent bundle ov…