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arXiv · 1801.06539

Hom-center-symmetric algebras and bialgebras

Mahouton Norbert Hounkonnou·Mafoya Landry Dassoundo
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Abstract

In this work, the hom-center-symmetric algebras are constructed and discussed. Their bimodules, dual bimodules and matched pairs are defined. The relation between the dual bimodules of hom-center-symmetric algebras and the matched pairs of hom-Lie algebras is established. Furthermore, the Manin triple of hom-center-symmetric algebras is given. Finally, a theorem linking the matched pairs of hom-center-symmetric algebras, the hom-center-symmetric bialgebras and the matched pairs of sub-adjacent hom-Lie algebras is provided.

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Mahouton Norbert Hounkonnou, Mafoya Landry Dassoundo. 2018-01-17. Hom-center-symmetric algebras and bialgebras. https://arxiv.org/abs/1801.06539

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