On the capability and Schur multiplier of nilpotent Lie algebra of class two

DOI10.1090/PROC/13092zbMath1383.17007OpenAlexW2345980614WikidataQ115290838 ScholiaQ115290838MaRDI QIDQ2816996

Farangis Johari, Mohsen Parvizi, Peyman Niroomand

Publication date: 26 August 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13092

zbMATH Keywords

nilpotent Lie algebraSchur multipliercapable Lie algebra

Mathematics Subject Classification ID

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

Related Items (19)

Bounds for the dimension of the center factor in capable nilpotent Lie algebras of class two ⋮ The capability and certain functors of some nilpotent lie algebras of class two ⋮ The structure, capability and the Schur multiplier of generalized Heisenberg Lie algebras ⋮ Capability of nilpotent Lie algebras of small dimension ⋮ On characterizing nilpotent Lie algebras by their multiplier, \(s(L)=4\) ⋮ Nilpotent Lie algebras of class 3 with 1-dimensional center and 3-dimensional derived subalgebra ⋮ The nilpotent multipliers of the direct sum of Lie algebras ⋮ Frattinian nilpotent Lie algebras ⋮ Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field ⋮ Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3 ⋮ Capability and Schur multiplier of a pair of Lie algebras ⋮ Characterization of capable nilpotent \(n\)-Lie algebras of class two by their Schur multipliers ⋮ Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two ⋮ On the dimension of the Schur multiplier of n-Lie algebras ⋮ Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps ⋮ Some results on the Schur multipliers of nilpotent Lie algebra ⋮ Polynilpotent capability of Lie algebras ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two ⋮ On characterizing nilpotent Lie algebra by their multiplier, \(s(L)=6, 7\)

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