Abstract
The aim of this paper is to generalise the construction of 3-BiHom-Lie superalgebras. We provide some properties that can be lifted to their \(T^{*}\)-extensions such as nilpotency, solvability and decomposition. We study representations, \(T_{\theta }\)-extensions and \(T^{*}_{\theta }\)-extensions 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 \(T^{*}_{\theta }\)-extension.
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Communicated by Michaela Vancliff.
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Laraiedh, I. Constructions and \(T^{*}\)-Extensions of 3-BiHom-Lie Superalgebras. Adv. Appl. Clifford Algebras 31, 20 (2021). https://doi.org/10.1007/s00006-021-01121-y
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DOI: https://doi.org/10.1007/s00006-021-01121-y