The nilpotent multipliers of the direct sum of Lie algebras

DOI10.1016/j.jalgebra.2017.11.012zbMath1392.17011OpenAlexW2770257336WikidataQ115350654 ScholiaQ115350654MaRDI QIDQ1682075

Ali Reza Salemkar, Arezoo Aslizadeh

Publication date: 28 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.11.012

zbMATH Keywords

nilpotent Lie algebraSchur multiplier\(c\)-capablenilpotent multiplier

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier for the direct sum of two Leibniz algebras ⋮ Capability of nilpotent Lie algebras of small dimension ⋮ c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras ⋮ Polynilpotent capability of Lie algebras ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two

Cites Work

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• Some restrictions on the Betti numbers of a nilpotent Lie algebra
• On dimension of the Schur multiplier of nilpotent Lie algebras
• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• The Baer-invariant and the direct limit
• The Baer-invariant of a direct product
• On groups with a finite nilpotent upper central quotient
• Some properties of the \(c\)-nilpotent multiplier of Lie algebras
• A remark on the Schur multiplier of nilpotent Lie algebras
• 2-nilpotent multipliers of a direct product of Lie algebras
• Some criteria for detecting capable Lie algebras
• On the capability and Schur multiplier of nilpotent Lie algebra of class two
• THE MULTIPLIER AND THE COVER OF DIRECT SUMS OF LIE ALGEBRAS
• A Note on the Schur Multiplier of a Nilpotent Lie Algebra
• ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS
• On the non-abelian tensor product of Lie algebras
• On characterizing nilpotent lie algebras by their multiplierst(L) = 3,4,5,6
• On covers of lie algebras
• On characterizing nilpotent lie algebras by their multipliers
• On Characterizing Nilpotent Lie Algebras by Their Multipliers, III
• A non-abelian tensor product of Lie algebras
• The Second Homology Group of a Group; Relations among Commutators

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