Local cocycle 3-Hom-Lie Bialgebras and 3-Lie Classical Hom-Yang-Baxter Equation
Local cocycle 3-Hom-Lie Bialgebras and 3-Lie Classical Hom-Yang-Baxter Equation
投稿时间:2016-11-22  最后修改时间:2017-04-06
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中文关键词:  
英文关键词:local cocycle 3-Hom-Lie bialgebra  3-Lie CHYBE  coboundary condition
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作者单位E-mail
Cheng Yongsheng 河南大学数学与信息科学学院 yscheng@henu.edu.cn 
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英文摘要:
      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 motivated by 3-Hom-Lie algebras and prove that the bialgebras induced by the solutions to 3-Lie CHYBE are the coboundary local cocycle 3-Hom-Lie bialgebra.
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