A Conjectured R-Matrix

Details A Conjectured R-Matrix A Conjectured R-Matrix

1997-10-17

arxiv.org/abs/solv-int/9710011v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages Latex

Scientific paper

10.1088/0305-4470/31/7/008

A new spectral parameter independent R-matrix (that depends on all of the dynamical variables) is proposed for the elliptic Calogero-Moser models. Necessary and sufficient conditions for this R-matrix to exist reduce to an equality between determinants of matrices involving elliptic functions. The needed identity appears new and is still unproven in full generality: we present it as a conjecture.

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