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arXiv · 1708.02847

On non-abelian extensions of 3-Lie algebras

Lina Song·Abdenacer Makhlouf·Rong Tang
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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.

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BibTeXRIS

Lina Song, Abdenacer Makhlouf, Rong Tang. 2017-08-09. On non-abelian extensions of 3-Lie algebras. https://doi.org/10.1088/0253-6102%2F69%2F4%2F347

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