On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras

DOI10.4153/S0008439520000193zbMath1477.16015OpenAlexW3013586914MaRDI QIDQ5858656

Youjun Tan, Senrong Xu

Publication date: 14 April 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008439520000193

zbMATH Keywords

bimodulesderivationsabelian extensionscohomologies

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Derivations, actions of Lie algebras (16W25) Bimodules in associative algebras (16D20)

Related Items (1)

Associative 2-algebras and nonabelian extensions of associative algebras

Cites Work

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• The Wells exact sequence for the automorphism group of a group extension.
• Automorphisms of Abelian group extensions.
• Erweiterung von Gruppen und ihren Isomorphismen
• On the cohomology groups of an associative algebra
• The Wells map for abelian extensions of 3-Lie algebras
• Cohomology, derivations and abelian extensions of 3-Lie algebras
• Extensions and automorphisms of Lie algebras
• Automorphisms of Group Extensions

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