Relative Rota-Baxter Operators on Hom-Lie-Yamaguti Algebras  

作　　者：Wen TENG Jiulin JIN Fengshan LONG 

机构地区：[1]School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China [2]School of Science,Guiyang University,Guizhou 550005,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2023年第6期648-664,共17页数学研究及应用(英文版)

基　　金：Supported by the Foundation of Science and Technology of Guizhou Province(Grant No.[2018]1020);the Guizhou University of Finance and Economics introduced talent research projects(2016);the National Natural Science Foundation of China(Grant No.12161013)。

摘　　要：In this paper,we first introduce the notion of relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras and give some characteristics of relative Rota-Baxter operators in terms of Nijenhuis operators and graphs.Then,the cohomology theory of relative Rota-Baxter operators on Hom-Lie-Yamaguti algebras is proposed.Finally,the deformation of the relative Rota-Baxter operator is explored by applying the cohomological approach.

关 键 词：Hom-Lie-Yamaguti algebra relative Rota-Baxter operator cohomology deformation 

分 类 号：O152.5[理学—数学] O177[理学—基础数学]