A New Loop Algebra and Its Corresponding Multi-component Integrable Hierarchy

新环代数学 G_M 的一种类型被使用骑车的数字的概念构造。作为它的申请，一个 isospectral 问题被设计，有多潜在的功能的一个新 multi-componentintegrable 层次被得出，它能被归结为著名 KN 层次。

A type of new loop algebra GM is constructed by making use of the concept of cycled numbers. As its application, an isospectral problem is designed and a new multi-component integrable hierarchy with multi-potential functions is worked out, which can be reduced to the famous KN hierarchy.