R-matrices and generalized inverses

被引：8
作者：
Braden, HW
机构：
[1] Dept. of Mathematics and Statistics, University of Edinburgh, Edinburgh
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 15期
关键词：
D O I：
10.1088/0305-4470/30/15/002
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 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. The construction applies equally to Lax matrices with spectral parameter.
引用
收藏
页码：L485 / L493
页数：9
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