Double constructions of Frobenius Hom-algebras and Connes cocycles
Received:September 11, 2019  Revised:July 18, 2020
Key Word: Frobenius Hom-algebras, Hom-dendriform algebras, $\mathcal{O}$-operators, antisymmetric infinitesimal Hom-bialgebras, Hom-dendriform  
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Author NameAffiliationE-mail
Shuangjian Guo Guizhou University of Finance and Economics 
lihong Dong Henan Normal University  
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      In this paper, we give an explicit and systematic study on the double constructions of Frobenius Hom-algebras and introduce the close relations between $\mathcal{O}$-operators and Hom-dendriform 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.
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