On non-abelian extensions of Leibniz algebras

DOI10.1080/00927872.2017.1324870zbMath1427.17044arXiv1601.03189OpenAlexW2964091900MaRDI QIDQ4643648

Qi Wang, Jiefeng Liu, Yun He Sheng

Publication date: 28 May 2018

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03189

zbMATH Keywords

Leibniz algebrasLeibniz 2-algebrasMaurer-Cartan elementsnon-abelian extensions

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99) Chain complexes in algebraic topology (55U15) Homological and categorical methods for abelian groups (20K40)

Related Items (11)

Non-abelian extensions of pre-Lie algebras ⋮ On Non-Abelian Extensions of 3-Lie Algebras ⋮ Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ Derivations of two-step nilpotent algebras ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ \(\mathsf{Lie}\)-isoclinism in Leibniz \(n\)-algebras ⋮ Biderivations of low-dimensional Leibniz algebras ⋮ Cohomology of hemistrict Lie 2-algebras ⋮ \textsf{Lie}-isoclinism of pairs of Leibniz algebras ⋮ Nonabelian extensions and factor systems for the algebras of Loday

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