Generalization of the linear r-matrix formulation through Loop coproducts

2009/10/06 by Fabio Musso, Musso, Fabio
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI

paper · pdf · doi:10.48550/arxiv.0910.1047

6 pages

arxiv created 2009/10/06 · arxiv updated 2009/12/01

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.

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