Some properties of the \(c\)-nilpotent multiplier of Lie algebras

DOI10.1016/J.JALGEBRA.2012.07.041zbMath1285.17015OpenAlexW2085573304WikidataQ115351080 ScholiaQ115351080MaRDI QIDQ1950636

Zahra Riyahi, Ali Reza Salemkar

Publication date: 13 May 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.07.041

zbMATH Keywords

Lie algebra\(c\)-nilpotent multipliernon-abelian exterior product\(c\)-capable

Mathematics Subject Classification ID

Lie algebras and Lie superalgebras (17B99)

Related Items (11)

Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications ⋮ 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras ⋮ The nilpotent multipliers of the direct sum of Lie algebras ⋮ The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier of Leibniz algebras ⋮ Polynilpotent capability of a pair of Lie algebras ⋮ c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras ⋮ Some properties of the \(c\)-nilpotent multiplier of a pair of Lie algebras ⋮ THE POLYNILPOTENT MULTIPLIER OF LIE ALGEBRAS ⋮ Polynilpotent capability of Lie algebras ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two ⋮ A remark on the Schur multiplier of nilpotent Lie algebras

Cites Work

• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• Nonabelian exterior products of Lie algebras and an exact sequence in the homology of Lie algebras
• On Covers of Perfect Lie Algebras
• ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS
• On the non-abelian tensor product of Lie algebras
• On covers of lie algebras
• A non-abelian tensor product of Lie algebras
• Unnamed Item

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