Integrable matrix equations related to pairs of compatible associative algebras
Quantum Algebra
2009-11-11 v2 High Energy Physics - Theory
Representation Theory
Exactly Solvable and Integrable Systems
Abstract
We study associative multiplications in semi-simple associative algebras over C compatible with the usual one. An interesting class of such multiplications is related to the affine Dynkin diagrams of A, D, E-type. In this paper we investigate in details the multiplications of the A-type and integrable matrix ODEs and PDEs generated by them.
Keywords
Cite
@article{arxiv.math/0604574,
title = {Integrable matrix equations related to pairs of compatible associative algebras},
author = {Alexander Odesskii and Vladimir Sokolov},
journal= {arXiv preprint arXiv:math/0604574},
year = {2009}
}
Comments
12 pages, Latex