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arXiv · 1304.7338

Hom-Nijienhuis operator and $T$*-extension of Hom-Lie Superalgebras

Yan Liu·Liangyun Chen·Yao Ma
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Abstract

In this paper, we study hom-Lie superalgebras. We give the definition of hom-Nijienhuis operators of regualr hom-Lie superalgebras and show that the deformation generated by a hom-Nijienhuis operator is trivial. Moreover, we introduce the definition of $T^*$-extensions of Hom-Lie superalgebras and show that $T^*$-extensions preserve many properties such as nilpotency, solvability and decomposition in some sense. We also investigate the equivalence of $T^*$-extensions.

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Yan Liu, Liangyun Chen, Yao Ma. 2013-04-27. Hom-Nijienhuis operator and $T$*-extension of Hom-Lie Superalgebras. https://arxiv.org/abs/1304.7338

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