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arXiv · 1501.00229

The construction and deformation of Hom-Novikov superalgebras

Bing Sun·Liangyun Chen·Yan Liu
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Abstract

We study a twisted generalization of Novikov superalgebras, called Hom-Novikov superalgebras. It is shown that two classes of Hom-Novikov superalgebras can be constructed from Hom-supercommutative algebras together with derivations and Hom-Novikov superalgebras with Rota-Baxter operators, respectively. We show that quadratic Hom-Novikov superalgebras are Hom-associative superalgebras and the sub-adjacent Hom-Lie superalgebras of Hom-Novikov superalgebras are 2-step nilpotent. Moreover, we develop the 1-parameter formal deformation theory of Hom-Novikov superalgebras.

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Bing Sun, Liangyun Chen, Yan Liu. 2015-01-01. The construction and deformation of Hom-Novikov superalgebras. https://arxiv.org/abs/1501.00229

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