- Hacettepe Journal of Mathematics and Statistics
- Vol: 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 Li, Liangyun Chen, Bing Sun
Pages : 785-799
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Publication Date : 2019-06-15
Article Type : Research
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