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arXiv · 2308.02411

Cohomology and deformation of compatible Hom-Leibniz algebras

Rinkila Bhutia·RB Yadav·Namita Behera
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Abstract

In this paper, we consider compatible Hom-Leibniz algebra where the Hom map twists the operations in the compatible system. We consider a suitably graded Lie algebra whose Maurer-Cartan elements characterize the structure of compatible Hom-Leibniz algebras. Using this, we study cohomology, infinitesimal deformations, the Nijenhuis operator, and their relation for compatible Hom-Leibniz algebras. Finally we see the cohomology of compatible Hom-Leibniz algebra with coefficients in an arbitrary representation.

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Rinkila Bhutia, RB Yadav, Namita Behera. 2023-05-26. Cohomology and deformation of compatible Hom-Leibniz algebras. https://arxiv.org/abs/2308.02411

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