Local Cocycle 3-Hom-Lie Bialgebras and 3-Lie Classical Hom-Yang-Baxter Equation

查看全文 作　　者：Mengping [1]WANG;Linli [1]WU;Yongsheng [1]CHENG 机构地区：[1]School of Mathematics and Statistics, Henan University, Henan 475004, P. R. China 出　　处：《Journal of Mathematical Research with Applications》索引2017年第37卷第6期,共12页 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) 摘　　要：In this paper,we introduce 3-Hom-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 HomYang-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-Hom-Lie bialgebras. 关 键 词：local cocycle 3-Hom-Lie bialgebra 3-Lie CHYBE coboundary condition