The non-abelian tensor and exterior products of crossed modules of Lie superalgebras

DOI10.1142/S0219498822501699OpenAlexW3154537531WikidataQ115245571 ScholiaQ115245571MaRDI QIDQ5104132

Tahereh Fakhr Taha, Pilar Páez-Guillán, Manuel Ladra Gonzalez

Publication date: 9 September 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498822501699

zbMATH Keywords

Lie superalgebracrossed modulesemi-abelian categorynon-abelian tensor productnon-abelian exterior producthomology of crossed modules

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Nonabelian homological algebra (category-theoretic aspects) (18G50)

Cites Work

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• Internal object actions in homological categories
• The actor of a crossed module in lie algebras
• Perfect crossed modules in lie algebras
• Capability of Crossed Modules of Lie Algebras
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• A non-abelian tensor product of Lie algebras

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