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تسجيل مستخدم جديدThree Graded Modified Classical Yang-Baxter Equations and Integrable Systems
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The $6 = 3times 2$ huge Lie algebra $Xi$ of all local and non local differential operators on a circle is applied to the standard Adler-Kostant-Symes (AKS) R-bracket sckeme. It is shown in particular that there exist three additional Lie structures, associated to three graded modified classical Yang-Baxter(GMCYB) equations. As we know from the standard case, these structures can be used to classify in a more consitent way a wide class of integrable systems. Other algebraic properties are also presented.
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