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arXiv · 2209.05175

Isoclinism and factor set in regular Hom-Lie Superalgebras

N. Nandi·R. N. Padhan·K. C. Pati
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Abstract

Hom-Lie superalgebras can be considered as the deformation of Lie superalgebras; which are $\mathbb{Z}_2$-graded generalization of Hom-Lie algebras. The motivation of this paper is to introduce the concept of isoclinism and factor set in regular Hom-Lie superalgebras. Finally, we obtain that two finite same dimensional regular Hom-Lie superalgebras are isoclinic if and only if they are isomorphic.

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N. Nandi, R. N. Padhan, K. C. Pati. 2022-09-12. Isoclinism and factor set in regular Hom-Lie Superalgebras. https://doi.org/10.1063/5.0137470

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