Non-abelian cohomology of extensions of Lie algebras as Deligne groupoid

DOI10.1016/j.jalgebra.2013.07.035zbMath1367.17015arXiv1310.0959OpenAlexW2963755058WikidataQ115350987 ScholiaQ115350987MaRDI QIDQ401722

Yaël Frégier

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/1310.0959

zbMATH Keywords

extensionsLie algebrasDeligne groupoidMaurer-Cartan equationnon-abelian cohomology

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56)

Related Items (15)

Non-abelian extensions of pre-Lie algebras ⋮ Hochschild products and global non-abelian cohomology for algebras. Applications ⋮ On Non-Abelian Extensions of 3-Lie Algebras ⋮ Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms ⋮ Associative 2-algebras and nonabelian extensions of associative algebras ⋮ 2-term averaging \(L_{\infty}\)-algebras and non-abelian extensions of averaging Lie algebras ⋮ Maurer-Cartan characterizations and cohomologies of compatible Lie algebras ⋮ Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras ⋮ A new approach to representations of 3-Lie algebras and abelian extensions ⋮ Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ Derivation Hom-Lie 2-algebras and non-abelian extensions of regular Hom-Lie algebras ⋮ On non-abelian extensions of Leibniz algebras ⋮ Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras ⋮ On the isomorphism of non-abelian extensions of \(n\)-Lie algebras ⋮ Nonabelian extensions and factor systems for the algebras of Loday

Cites Work

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• Introduction to sh Lie algebras for physicists
• Koszul duality for operads
• Cohomology and deformations of algebraic structures
• Cohomology Theory of Lie Groups and Lie Algebras
• Algebraic Operads
• The deformation theory of representations of fundamental groups of compact Kähler manifolds

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