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arXiv · 2512.09328

Cohomology and deformation theory of Averaging Leibniz algebras

Bouzid Mosbahi·Imed Basdouri·Jean Lerbet
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Abstract

In this paper, we introduce the concepts of representation and dual representation for averaging Leibniz algebras. We also develop a cohomology theory for these algebras. Additionally, we explore the infinitesimal and formal deformation theories of averaging Leibniz algebras, showing that the cohomology we define is closely connected to deformation cohomology.

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Bouzid Mosbahi, Imed Basdouri, Jean Lerbet. 2025-12-10. Cohomology and deformation theory of Averaging Leibniz algebras. https://arxiv.org/abs/2512.09328

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