The Wells map for abelian extensions of 3-Lie algebras

DOI10.21136/CMJ.2019.0098-18MaRDI QIDQ5206466

Youjun Tan, Senrong Xu

Publication date: 18 December 2019

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

cohomologyabelian extensionsautomorphisms of 3-Lie algebrasfree nilpotent 3-Lie algebrarepresentation of 3-Lie algebras

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (3)

Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮ On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras ⋮ Exact sequences in the cohomology of a Lie superalgebra extension

Cites Work

• The Wells exact sequence for the automorphism group of a group extension.
• Leibniz and Lie algebra structures for Nambu algebra
• Automorphisms of Abelian group extensions.
• \(n\)-Lie algebras
• Theory of \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• Erweiterung von Gruppen und ihren Isomorphismen
• Automorphisms of groups.
• Cohomology, derivations and abelian extensions of 3-Lie algebras
• Extensions and automorphisms of Lie algebras
• Automorphisms of Group Extensions
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