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Journal of Lie Theory 27 (2017), No. 4, 1089--1105
Copyright Heldermann Verlag 2017

Representations of Hom-Right Symmetric Algebras

Ridha Chatbouri
Dép. de Mathématiques, Faculté des Sciences, Avenue de l'Environnement, 5019 Monastir, Tunisie

We study representations of hom-right symmetric algebras, especially the trivial representation and the right and left adjoint representations are studied in detail. We are interested in the understanding of these notions in the setting of the 'operadic' presentation for a multiplicative hom-right symmetric algebra. Derivations, deformations, central extensions of hom-right symmetric algebras are also studied as an application.

Keywords: Hom-algebras, up to homotopy algebras, cohomology.

MSC: 17A30, 17A20, 17A01, 17B56, 55N20

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