标题： 通过环路乘积的线性 r-矩阵公式的推广 显示英文标题

标题： Generalization of the linear r-matrix formulation through Loop coproducts

摘要： 一种新的构造经典可积系统的方法，我们称之为环共乘公式，被提出。 我们表明线性 r-矩阵公式、Sklyanin 代数和反射代数可以作为该框架的特定子情况得到。 我们对通过此方法引入的 r-矩阵形式的可能推广进行了评论。 显示英文摘要

摘要： 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.