Generalization of the linear r-matrix formulation through Loop coproducts
Musso, Fabio · arXiv (Cornell University) · 2009
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.