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arxiv: 1610.04302 · v1 · pith:OVTXWFBAnew · submitted 2016-10-14 · 🧮 math.RT

Representations of Bihom-Lie algebras

Yongsheng Cheng , Huange Qi This is my paper
classification 🧮 math.RT
keywords bihom-liealgebrasalgebraextensionsrepresentationrepresentationsadjointcentral
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Bihom-Lie algebra is a generalized Hom-Lie algebra endowed with two commuting multiplicative linear maps. In this paper, we study cohomology and representations of Bihom-Lie algebras. In particular, derivations, central extensions, derivation extensions, the trivial representation and the adjoint representation of Bihom-Lie algebras are studied in detail.

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  1. Cohomology and linear deformation of BiHom-left-symmetric algebras

    math.RA 2019-07 unverdicted novelty 5.0

    Develops cohomology for BiHom-left-symmetric algebras and characterizes their linear deformations by the second cohomology group with adjoint coefficients.