Hom-algebras and Hom-coalgebras
نویسنده
چکیده
The aim of this paper is to develop the coalgebra counterpart of the HomAlgebra notions. After reviewing some key constructions and examples of quasi-deformations of Lie algebras involving twisted derivations and giving rise to the class of quasi-Lie algebras incorporating Hom-Lie algebras, we describe the notion and some properties of Homalgebras and provide examples of formal deformations of Hom-Lie algebras for sl2(K) and Jackson sl2(K). We also introduce and prove some fundamental properties of Homcoalgebra structures, leading to the notions of Hom-bialgebra and Hom-Hopf algebras. Finally, we define the concept of Hom-Lie admissible Hom-coalgebra and provide their classification based on subgroups of the symmetric group S3.
منابع مشابه
Hom-lie Admissible Hom-coalgebras and Hom-hopf Algebras
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