Bounds for the dimension of the center factor in capable nilpotent Lie algebras of class two

DOI10.1080/03081087.2021.1955821OpenAlexW3185826994WikidataQ115298661 ScholiaQ115298661MaRDI QIDQ5888842

Farangis Johari

Publication date: 25 April 2023

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

Full work available at URL: https://doi.org/10.1080/03081087.2021.1955821

zbMATH Keywords

capabilitynilpotent Lie algebra of class two

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• Nilpotent groups of class two that can appear as central quotient groups
• Derived subgroups and centers of capable groups
• On the capability and Schur multiplier of nilpotent Lie algebra of class two
• On the capability of groups
• On dimension of Schur multiplier of nilpotent Lie algebras II
• Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field
• On the capability of finite groups of class two and prime exponent
• Class two nilpotent capable groups
• Bounds for the index of the centre in capable groups
• Some Properties of the Schur Multiplier and Covers of Lie Algebras

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