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

作　　者：Mengping WANG Linli WU Yongsheng 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》2017年第6期667-678,共12页数学研究及应用（英文版）

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-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.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.

关 键 词：local cocycle 3-Horn-Lie bialgebra 3-Lie CHYBE coboundary condition 

分 类 号：O152.5[理学—数学]