In this paper, we introduce 3-Horn-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycle conditions. We study a twisted 3-ary version of the Yang-Baxt...In this paper, we introduce 3-Horn-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycle conditions. We study a twisted 3-ary version of the Yang-Baxter Equation, called the 3-Lie classical Hom- Yang-Baxter Equation （3-Lie CHYBE）, which is a general form of 3-Lie classical Yang-Baxter Equation and prove that the bialgebras induced by the solutions of 3-Lie CHYBE induce the coboundary local cocycle 3-Horn-Lie bialgebras.展开更多
基金Supported by the National Natural Science Foundation of China(Grant No.11047030)the Science and Technology Program of Henan Province(Grant No.152300410061)
文摘In this paper, we introduce 3-Horn-Lie bialgebras whose compatibility conditions between the multiplication and comultiplication are given by local cocycle conditions. We study a twisted 3-ary version of the Yang-Baxter Equation, called the 3-Lie classical Hom- Yang-Baxter Equation （3-Lie CHYBE）, which is a general form of 3-Lie classical Yang-Baxter Equation and prove that the bialgebras induced by the solutions of 3-Lie CHYBE induce the coboundary local cocycle 3-Horn-Lie bialgebras.
