On non-abelian extensions of 3-Lie algebras
Representation Theory
2018-05-09 v1 Mathematical Physics
math.MP
Rings and Algebras
Abstract
In this paper, we study non-abelian extensions of 3-Lie algebras through Maurer-Cartan elements. We show that there is a one-to-one correspondence between isomorphism classes of non-abelian extensions of 3-Lie algebras and equivalence classes of Maurer-Cartan elements in a DGLA. The structure of the Leibniz algebra on the space of fundamental objects is also analyzed.
Keywords
Cite
@article{arxiv.1708.02847,
title = {On non-abelian extensions of 3-Lie algebras},
author = {Lina Song and Abdenacer Makhlouf and Rong Tang},
journal= {arXiv preprint arXiv:1708.02847},
year = {2018}
}
Comments
17 pages