Double Constructions of Frobenius Hom-Algebras and Connes Cocycles  

作　　者：Shuangjian GUO Lihong DONG 

机构地区：[1]School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guizhou 550025,P.R.China [2]College of Mathematics and Information Science,Henan Normal University,Henan 453007,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2020年第6期577-595,共19页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.11761017,11801150);the Science and Technology Foundation of Guizhou Province(Grant No.20201Y005)。

摘　　要：In this paper,we give an explicit and systematic study on the double constructions of Frobenius Hom-algebras and introduce the close relations between O-operators and Homdendriform algebras.Furthermore,we study the double constructions of Connes cocycles in terms of Hom-dendriform algebras.Finally,we give a clear analogy between antisymmetric infinitesimal Hom-bialgebras and Hom-dendriform D-bialgebras.

关 键 词：Frobenius Hom-algebras Hom-dendriform algebras O-operators antisymmetric infinitesimal Hom-bialgebras Hom-dendriform D-bialgebras 

分 类 号：O15[理学—数学]