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arXiv · 1907.06979

Cohomology and linear deformation of BiHom-left-symmetric algebras

Abdelkader Ben Hassine·Taoufik Chtioui·Sami Mabrouk·Othmen Ncib
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Abstract

The aim of this work is to introduce representations of BiHom-left-symmetric algebras. and develop its cohomology theory. As applications, we study linear deformations of BiHom-left-symmetric algebras, which are characterized by its second cohomology group with the coefficients in the adjoint representation. The notion of a Nijenhuis operator on a BiHom-left-symmetric algebra is introduced. We will prove that it can generate trivial linear deformations of a BiHom-left-symmetric algebra.

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Abdelkader Ben Hassine, Taoufik Chtioui, Sami Mabrouk, Othmen Ncib. 2019-07-13. Cohomology and linear deformation of BiHom-left-symmetric algebras. https://arxiv.org/abs/1907.06979

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