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arXiv · 2308.04203

Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras

Jules Anitheou·Sylvain Attan·Kinvi Kangni
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Abstract

Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensions of Hom-Jacobi-Jordan algebras are also discussed as an application. Morover, we introduce the cohomology theory on Hom-Jacobi-Jordan algebras as well as the one of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras. Finally, we use the cohomological approach to study deformations of Hom-Jacobi-Jordan algebras and those of relative Rota-Baxter operators.

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Jules Anitheou, Sylvain Attan, Kinvi Kangni. 2023-08-08. Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras. https://arxiv.org/abs/2308.04203

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