R-Matrices, Generalized Inverses and Calogero-Moser-Sutherland Models
نویسنده
چکیده
Four results are given that address the existence, ambiguities and construction of a classical R-matrix given a Lax pair. They enable the uniform construction of R-matrices in terms of any generalized inverse of ad(L). For generic L a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. We apply our construction to the elliptic Calogero-Moser-Sutherland models associated with gln.
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تاریخ انتشار 2007