Representations and $T^{\ast}$-extensions of $\delta$-Bihom-Jordan-Lie algebras

Year 2020, Volume: 49 Issue: 2, 648 - 675, 02.04.2020

Abdelkader Ben Hassine Liangyun Chen Juan Li

https://doi.org/10.15672/hujms.588684

Abstract

The purpose of this article is to study representations of $\delta$-Bihom-Jordan-Lie algebras. In particular, adjoint representations, trivial representations, deformations, $T^\ast$-extensions of $\delta$-Bihom-Jordan-Lie algebras are studied in detail. Derivations and central extensions of $\delta$-Bihom-Jordan-Lie algebras are also discussed as an application.

Keywords

representations, derivations, deformations, T*-extensions, $\delta$-Bihom-Jordan-Lie algebras

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