On non-abelian extensions of 3-Lie algebras
On non-abelian extensions of 3-Lie algebras
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.
Lina Song、Rong Tang、Abdenacer Makhlouf
数学
Lina Song,Rong Tang,Abdenacer Makhlouf.On non-abelian extensions of 3-Lie algebras[EB/OL].(2017-08-09)[2025-08-02].https://arxiv.org/abs/1708.02847.点此复制
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