Schur- and Baer-type theorems for Lie and Leibniz algebras

DOI10.36045/j.bbms.230609arXiv2306.05794MaRDI QIDQ6179265

Tim Van der Linden, Guram Donadze

Publication date: 16 January 2024

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.05794

zbMATH Keywords

Lie algebrahomologycrossed modulecentral extensionLeibniz algebranon-abelian tensor and exterior product

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Leibniz algebras (17A32) 2-groups, crossed modules, crossed complexes (18G45)

Cites Work

• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• Van Kampen theorems for diagrams of spaces
• A non-abelian tensor product of Leibniz algebras
• Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras
• Compatible actions in semi-abelian categories
• Endlichkeitskriterien für Kommutatorgruppen
• An intrinsic approach to the non-abelian tensor product via internal crossed squares
• A non-abelian tensor product of Lie algebras
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