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Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart

D. Talalaev
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Abstract

The expression of the quantum Ruijsenaars-Schneider Hamiltonian is obtained in the framework of the dynamical $R$-matrix formalism. This generalizes to the case of $U_q(sl_n)$ the result obtained by O. Babelon, D. Bernard and E. Billey for $U_q(sl_2)$ which is the higher difference Lame operator. The general method involved is the universal $R$-matrix construction.

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D. Talalaev. 1999-09-06. Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart. https://arxiv.org/abs/math/9909014

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