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- W4293572833 abstract "We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general $(alpha,beta)$-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which are of $(alpha,{rm Id})$-type. We show that the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras form a matched pair of Hom-Hopf algebras. We observe also that, the semi-dualization of a double cross product Hom-Hopf algebra is a bicrossproduct Hom-Hopf algebra. In particular, we apply this result to the universal enveloping Hom-Hopf algebras of a matched pair of Hom-Lie algebras to obtain Hom-Lie-Hopf algebras." @default.
- W4293572833 created "2022-08-30" @default.
- W4293572833 creator A5001345637 @default.
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- W4293572833 date "2019-10-17" @default.
- W4293572833 modified "2023-09-23" @default.
- W4293572833 title "Hom-Lie-Hopf algebras" @default.
- W4293572833 doi "https://doi.org/10.48550/arxiv.1910.07920" @default.
- W4293572833 hasPublicationYear "2019" @default.
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