An Explicit Seven-Term Exact Sequence for the Cohomology of a Lie Algebra Extension

DOI10.1080/00927872.2015.1027351zbMath1404.17033arXiv1209.0277OpenAlexW1589677107MaRDI QIDQ2810544

Manfred Hartl, Sarah Wauters, Karel Dekimpe

Publication date: 1 June 2016

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

Full work available at URL: https://arxiv.org/abs/1209.0277

zbMATH Keywords

Lie algebra cohomologyderivationLie algebra extensioncrossed extensionlow dimensional cohomology

Mathematics Subject Classification ID

Related Items (1)

Nonabelian extensions and factor systems for the algebras of Loday

Cites Work

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• Automorphisms of group extensions and differentials in the Lyndon-Hochschild-Serre spectral sequence
• Crossed \(n\)-fold extensions of groups and cohomology
• An eight-term exact sequence associated with a group extension
• Central extensions of Lie algebras
• A seven-term exact sequence for the cohomology of a group extension.
• On the deformation of rings and algebras. II
• Cohomology of Lie algebras
• On Lie Algebra Crossed Modules
• A UNIFORM COHOMOLOGY THEORY FOR ALGEBRAS
• Combinatorial homotopy. II

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