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- W3100491074 abstract "In this paper we define and discuss the representations of $n$-BiHom-Lie algebra. We also introduce $T_{theta}$-extensions and $T_{theta}^{ast}$-extensions of $n$-BiHom-Lie algebras and prove the necessary and sufficient conditions for a $2m$-dimensional quadratic $n$-Bihom-Lie algebra to be isomorphic to a $T_{theta}^{ast}$-extension. Moreover, we develop the one-parameter formal deformations of $n$-BiHom-Lie algebras, and we proved that the first and second cohomology groups are suitable to the deformation theory involving infinitesimals, equivalent deformations, and rigidity" @default.
- W3100491074 created "2020-11-23" @default.
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- W3100491074 date "2020-10-21" @default.
- W3100491074 modified "2023-09-27" @default.
- W3100491074 title "Representations, extensions and deformations of $n$-BiHom-Lie algebras" @default.
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