Crossed modules for Lie 2-algebras

DOI10.1007/s10485-015-9389-8zbMath1375.17014arXiv1402.7226OpenAlexW1999625665MaRDI QIDQ2634579

Zhang-Ju Liu, Honglei Lang

Publication date: 16 February 2016

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.7226

zbMATH Keywords

derivationscrossed moduleLie 2-algebra

Mathematics Subject Classification ID

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

Related Items (4)

Integration of derivations for Lie 2-algebras ⋮ Hom-Leibniz 2-algebras ⋮ Hom-Lie 2-superalgebras ⋮ Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras

Cites Work

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• Weak Lie 2-bialgebras
• Deformations of Lie 2-algebras
• The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module
• André-Quillen cohomology of algebras over an operad
• Modules croisés généralisés de longueur 2
• Cohomology of Lie 2-groups
• The Lie algebra structure of tangent cohomology and deformation theory
• Spaces with finitely many non-trivial homotopy groups
• A cohomology theory for \(A(m)\)-algebras and applications
• Crossed extensions of algebras and Hochschild cohomology
• Non-abelian extensions of Lie 2-algebras
• Lie 2-bialgebras
• The cohomology structure of an associative ring
• Free homotopy algebras
• Crossed modules for Leibniz n-algebras
• Strongly homotopy lie algebras
• On Lie Algebra Crossed Modules
• A UNIFORM COHOMOLOGY THEORY FOR ALGEBRAS
• Actions and automorphisms of crossed modules

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