Double constructions of Frobenius Hom-algebras and Connes cocycles
Double constructions of Frobenius Hom-algebras and Connes cocycles
Received:September 11, 2019  Revised:July 18, 2020
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 Author Name Affiliation E-mail Shuangjian Guo Guizhou University of Finance and Economics shuangjianguo@126.com 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.