c-capability of Lie algebras with the derived subalgebra of dimension two

DOI10.1080/00927872.2019.1612414zbMath1471.17017OpenAlexW2945587531MaRDI QIDQ5238150

Peyman Niroomand, Farangis Johari, Mohsen Parvizi

Publication date: 28 October 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1612414

zbMATH Keywords

nilpotent Lie algebrasc-capability

Mathematics Subject Classification ID

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

Cites Work

• Capability and Schur multiplier of a pair of Lie algebras
• Six-dimensional nilpotent Lie algebras
• Nilpotent groups of class two that can appear as central quotient groups
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• On groups occurring as center factor groups
• The nilpotent multipliers of the direct sum of Lie algebras
• Some properties of the \(c\)-nilpotent multiplier of Lie algebras
• 2-capability and 2-nilpotent multiplier of finite dimensional nilpotent Lie algebras
• Some criteria for detecting capable Lie algebras
• On the capability and Schur multiplier of nilpotent Lie algebra of class two
• ON THE 2-NILPOTENT MULTIPLIER OF FINITEp-GROUPS
• ON SCHUR MULTIPLIERS OF LIE ALGEBRAS AND GROUPS OF MAXIMAL CLASS
• Capable Lie algebras with the derived subalgebra of dimension 2 over an arbitrary field
• c-Nilpotent multiplier and c-capability of the direct sum of Lie algebras
• Some Properties of the Schur Multiplier and Covers of Lie Algebras
• AFFINE STRUCTURES ON NILMANIFOLDS
• A non-abelian tensor product of Lie algebras
• The classification of prime-power groups.

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