Exact sequences in the cohomology of a Lie superalgebra extension

DOI10.1080/03081087.2021.1902463OpenAlexW3136122145WikidataQ115298761 ScholiaQ115298761MaRDI QIDQ5870071

Samir Kumar Hazra, Amber Habib

Publication date: 5 January 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06650

zbMATH Keywords

extensionscohomologyLie superalgebrasHochschild-Serre spectral sequence

Mathematics Subject Classification ID

Spectral sequences, hypercohomology (18G40) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• Automorphisms of Abelian group extensions.
• The theory of Lie superalgebras. An introduction
• Endomorphisms in short exact sequences
• Resurrecting Wells’ exact sequence and Buckley's group action
• Wells sequences for abelian extensions of Lie coalgebras
• The Wells map for abelian extensions of 3-Lie algebras
• Extensions and automorphisms of Lie algebras
• Automorphisms of abelian Lie ring extensions
• The Wells exact sequence for the automorphism group of a Lie ring extension
• Automorphisms of Group Extensions

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