Develops cohomology for BiHom-left-symmetric algebras and characterizes their linear deformations by the second cohomology group with adjoint coefficients.
Representations of Bihom-Lie algebras
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abstract
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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2019 1verdicts
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Cohomology and linear deformation of BiHom-left-symmetric algebras
Develops cohomology for BiHom-left-symmetric algebras and characterizes their linear deformations by the second cohomology group with adjoint coefficients.