From Leibniz algebras to Lie 2-algebras

DOI10.1007/s10468-015-9556-5zbMath1378.17007OpenAlexW804354510MaRDI QIDQ269824

Zhang-Ju Liu, Yun He Sheng

Publication date: 6 April 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-015-9556-5

zbMATH Keywords

Leibniz algebrasCourant algebroidsLie 2-algebrasomni-Lie algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Leibniz algebras (17A32)

Related Items (6)

Restricted Lie 2-algebras ⋮ Enhanced Leibniz algebras: structure theorem and induced Lie 2-algebra ⋮ The embedding tensor, Leibniz-Loday algebras, and their higher gauge theories ⋮ Cohomology of hemistrict Lie 2-algebras ⋮ The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples ⋮ Leibniz bialgebras, classical Yang-Baxter equations and dynamical systems

Cites Work

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• Courant algebroids. A short history
• Semidirect products of representations up to homotopy
• The Lie algebra structure of tangent cohomology and deformation theory
• Courant algebroids and strongly homotopy Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Manin triples for Lie bialgebroids

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