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arXiv · 2004.08823

Constructions and $T^{\ast}$-Extensions of 3-Bihom-Lie Superalgebras

Ismail Laraiedh
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Abstract

The aim of this paper is to generalise the construction of $3$-Bihom-Lie superalgebras and we provide some properties can be lifted to its $T^{\ast}$-extensions such as nilpotency, solvability and decomposition. We study the representations, $T_{\theta}$-extensions and $T^{\ast}_{\theta}$-extension of $3$-Bihom-Lie superalgebras and prove the necessary and sufficient conditions for a $2n$-dimensional quadratic $3$-Bihom-Lie superalgebra to be isomorphic to a $T^{\ast}_{\theta}$-extension.

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Ismail Laraiedh. 2020-04-19. Constructions and $T^{\ast}$-Extensions of 3-Bihom-Lie Superalgebras. https://arxiv.org/abs/2004.08823

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