R-Matrices and Generalized Inverses
solv-int
2008-02-03 v1 可精确求解与可积系统
摘要
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 . For generic a generalized inverse (and indeed the Moore-Penrose inverse) is explicitly constructed. The R-matrices are in general momentum dependent and dynamical. The construction applies equally to Lax matrices with spectral parameter.
引用
@article{arxiv.solv-int/9706001,
title = {R-Matrices and Generalized Inverses},
author = {H. W. Braden},
journal= {arXiv preprint arXiv:solv-int/9706001},
year = {2008}
}
备注
11 pages, Latex