A non-abelian tensor product of precrossed modules in lie algebras

DOI10.1080/00927872.2019.1691576zbMath1436.17026OpenAlexW2989949157MaRDI QIDQ5220659

Behrouz Edalatzadeh

Publication date: 27 March 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1691576

zbMATH Keywords

non-abelian tensor squarehomology of a precrossed \(L\)-moduleprecrossed modules in Lie algebras

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)

Cites Work

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• On universal central extensions of precrossed and crossed modules
• Quelques propriétés homologiques des modules précroisés. (Some homological properties of precrossed modules)
• Homology and generalized Baer invariants
• Galois theory and a general notion of central extension
• Universal central extensions of precrossed modules and Milnor's relative \(K_{2}\)
• More about homological properties of precrossed modules
• Homology of precrossed modules
• Universal central extensions in semi-abelian categories
• Homological aspects of Lie algebra crossed modules
• Universal central extensions of Lie crossed modules over a fixed Lie algebra
• Higher Hopf formulae for homology via Galois theory
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• On the non-abelian tensor product of Lie algebras
• H₂(T, G, ∂) and central extensions for crossed modules
• A non-abelian tensor product of Lie algebras
• (Co)Homology of crossed modules

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