Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field

DOI10.1080/03081087.2018.1425356zbMath1472.17045arXiv1712.01542OpenAlexW3106363022WikidataQ115299414 ScholiaQ115299414MaRDI QIDQ4622869

Farangis Johari, Mohsen Parvizi, Peyman Niroomand

Publication date: 18 February 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01542

zbMATH Keywords

Schur multipliercapabilitygeneralized Heisenberg Lie algebrasstem Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Lie algebras and Lie superalgebras (17B99)

Related Items (12)

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 ⋮ 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 ⋮ Nilpotent Lie algebras of class 4 with the derived subalgebra of dimension 3 ⋮ Nilpotent lie algebras having the Schur multiplier of maximum dimension ⋮ Certain functors of nilpotent Lie algebras with the derived subalgebra of dimension two ⋮ Finite-dimensional nilpotent Lie algebras of class two and alternating bilinear maps ⋮ c-capability of Lie algebras with the derived subalgebra of dimension two ⋮ On the triple tensor product of nilpotent Lie algebras ⋮ New bounds on the dimension of the Schur multiplier of n-Lie algebras ⋮ On characterizing nilpotent Lie algebra by their multiplier, \(s(L)=6, 7\)

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• Nilpotent Lie Algebras with a Small Second Derived Quotient¹
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• A non-abelian tensor product of Lie algebras

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