Three Graded Modified Classical Yang-Baxter Equations and Integrable Systems
نویسنده
چکیده
The 6 = 3 × 2 huge Lie algebra Ξ 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 YangBaxter(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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