Generalization of the linear r-matrix formulation through Loop coproducts
Exactly Solvable and Integrable Systems
2009-10-07 v1
Abstract
A new method for the construction of classical integrable systems, that we call loop coproduct formulation, is presented. We show that the linear r-matrix formulation, the Sklyanin algebras and the reflection algebras can be obtained as particular subcases of this framework. We comment on the possible generalizations of the r-matrix formalism introduced through this approach.
Keywords
Cite
@article{arxiv.0910.1047,
title = {Generalization of the linear r-matrix formulation through Loop coproducts},
author = {Fabio Musso},
journal= {arXiv preprint arXiv:0910.1047},
year = {2009}
}
Comments
6 pages