English

A Conjectured R-Matrix

solv-int 2009-10-30 v1 Exactly Solvable and Integrable Systems

Abstract

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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Cite

@article{arxiv.solv-int/9710011,
  title  = {A Conjectured R-Matrix},
  author = {H. W. Braden},
  journal= {arXiv preprint arXiv:solv-int/9710011},
  year   = {2009}
}

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12 pages Latex