On compatible Leibniz algebras
Rings and Algebras
2023-05-03 v1 Representation Theory
Abstract
In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra. We define a cohomology theory of compatible Leibniz algebras which in particular controls a one-parameter formal deformation theory of this algebraic structure. Motivated by a classical application of cohomology, we moreover study the abelian extension of compatible Leibniz algebras.
Cite
@article{arxiv.2305.01025,
title = {On compatible Leibniz algebras},
author = {Abdenacer Makhlouf and Ripan Saha},
journal= {arXiv preprint arXiv:2305.01025},
year = {2023}
}