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International Mathematics Research Notices (2000) 2000:597-606, doi:10.1155/S1073792800000325
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Copyright © 2000 Hindawi Publishing Corporation. All rights reserved.

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

D. Talalaev

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 Formula the result obtained in [3] for Formula, which is the higher difference Lame operator. The same result was obtained in [5] using the "fusion" procedure. The distinctive starting point of the present paper is the universal dynamical R-matrix.


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