On dimension of Schur multiplier of nilpotent Lie algebras II

DOI10.1142/S1793557117500760zbMath1386.17016MaRDI QIDQ4595156

Homayoon Arabyani, Peyman Niroomand, Farshid Saeedi

Publication date: 28 November 2017

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotent Lie algebramultiplier

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Lie algebras and Lie superalgebras (17B99) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (9)

Bounds for the dimension of the center factor in capable nilpotent Lie algebras of class two ⋮ Capable \(n\)-Lie algebras and the classification of nilpotent \(n\)-Lie algebras with \(s(A) = 3\) ⋮ On characterizing nilpotent Lie algebras by their multiplier, \(s(L)=4\) ⋮ Unnamed Item ⋮ Nilpotent lie algebras having the Schur multiplier of maximum dimension ⋮ Multipliers, covers, and stem extensions for Lie superalgebras ⋮ Characterizing nilpotent \(n\)-Lie algebras by their multiplier ⋮ The Schur multipliers of Lie algebras of maximal class ⋮ On characterizing nilpotent Lie algebra by their multiplier, \(s(L)=6, 7\)

Cites Work

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• On dimension of the Schur multiplier of nilpotent Lie algebras
• On dimensions of derived algebra and central factor of a Lie algebra
• Some criteria for detecting capable 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 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
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• On Characterizing Nilpotent Lie Algebras by Their Multipliers, III

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