Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras

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Hacettepe Journal of Mathematics and Statistics
Volume:48 Issue:3
Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras

Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras

Authors : Juan Lİ, Liangyun CHEN, Bing SUN

Pages : 785-799

View : 46 | Download : 9

Publication Date : 2019-06-15

Article Type : Research Paper

Abstract :The purpose of this article is to study Bihom-Nijienhuis operators and $T^*$-extensions of Bihom-Lie superalgebras. We show that the deformation generated by a Bihom-Nijienhuis operator is trivial. Moreover, we introduce the definition of $T^*$-extensions of Bihom-Lie superalgebras and show that $T^*$-extensions preserve many properties such as nilpotency, solvability and decomposition in some sense. In particular, we discuss the equivalence of $T^*$-extensions.
Keywords : Bihom Lie superalgebras, Bihom Nijienhuis operators, deformations, T extensions

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