Theory of Extensions of Multiplicative Lie Algebras

zbMath1486.17033arXiv1909.00343MaRDI QIDQ5001465

Mani Shankar Pandey, Sumit Kumar Upadhyay

Publication date: 19 July 2021

Full work available at URL: https://arxiv.org/abs/1909.00343

zbMATH Keywords

factor systemLie cohomologymultiplicative Lie algebrasSchreier extensions

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Cohomology of Lie (super)algebras (17B56) Central extensions and Schur multipliers (19C09)

Cites Work

• Non-abelian tensor and exterior products of multiplicative Lie rings
• Homology of multiplicative Lie rings
• Exact sequences in homology of multiplicative Lie rings and a new version of Stallings' theorem
• Nilpotency criteria for multiplicative Lie algebras
• More on five commutator identities.
• Multiplicative Lie algebras and Schur multiplier
• Unnamed Item

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