On non-abelian extensions of Leibniz algebras
Category Theory
2017-12-05 v2 Rings and Algebras
Abstract
In this paper, first we classify non-abelian extensions of Leibniz algebras by the second non-abelian cohomology. Then, we construct Leibniz 2-algebras using derivations of Leibniz algebras, and show that under a condition on the center, a non-abelian extension of Leibniz algebras can be described by a Leibniz 2-algebra morphism. At last, we give a description of non-abelian extensions in terms of Maurer-Cartan elements in a differential graded Lie algebra.
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Cite
@article{arxiv.1601.03189,
title = {On non-abelian extensions of Leibniz algebras},
author = {Jiefeng Liu and Yunhe Sheng and Qi Wang},
journal= {arXiv preprint arXiv:1601.03189},
year = {2017}
}
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16 pages