Some inequalities for the dimension of the Schur multiplier of a pair of (nilpotent) Lie algebras

DOI10.1016/j.jalgebra.2011.11.001zbMath1261.17010OpenAlexW1973547803WikidataQ115351156 ScholiaQ115351156MaRDI QIDQ435933

Mohammad Reza Rismanchian, Mehdi Araskhan

Publication date: 13 July 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.11.001

zbMATH Keywords

Schur multiplier

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Lie algebras and Lie superalgebras (17B99)

Related Items (8)

On the dimension of the Schur \(\mathsf{Lie}\)-multiplier of a pair of Leibniz algebras ⋮ Some inequalities for the multiplier of a pair of n-Lie algebras ⋮ Some upper bounds on the dimension of the Schur multiplierof a pair of nilpotent Lie algebras ⋮ Some results on the \(c\)-nilpotent multiplier of a pair of Lie algebras ⋮ On the dimension of the c-nilpotent Schur Lie-multiplier of Leibniz algebras ⋮ Group extensions and marginal series of pair of groups ⋮ Unnamed Item ⋮ Decomposition of the nonabelian tensor product of Lie algebras via the diagonal ideal

Cites Work

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• The Schur multiplier of a pair of groups
• Some inequalities for the Baer-invariant of a pair of finite groups.
• ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS
• On characterizing nilpotent lie algebras by their multipliers
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• On Characterizing Nilpotent Lie Algebras by Their Multipliers, III
• Some Inequalities for the Multiplicator of a Finite Group
• Some Inequalities for the Multiplicator of a Finite Group. II

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