Classification of solvable Leibniz algebras with null-filiform nilradical

DOI10.1080/03081087.2012.703194zbMath1317.17003arXiv1202.5275OpenAlexW2005899325WikidataQ123001297 ScholiaQ123001297MaRDI QIDQ5300060

Manuel Ladra Gonzalez, José Manuel Casas Mirás, Iqbol A. Karimjanov, Bakhrom A. Omirov

Publication date: 24 June 2013

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

Full work available at URL: https://arxiv.org/abs/1202.5275

zbMATH Keywords

solvabilitynilpotencenilradicalLeibniz algebranull-filiform algebra

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Radical theory (nonassociative rings and algebras) (17A65)

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Cites Work

• Classification of Lie algebras with naturally graded quasi-filiform nilradicals
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras
• Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements
• Solvable Lie Algebras with Quasifiliform Nilradicals
• Solvable Lie algebras with an \mathbb {N}-graded nilradical of maximal nilpotency degree and their invariants
• A class of solvable Lie algebras and their Casimir invariants
• Solvable Lie algebras with Abelian nilradicals
• Solvable Lie algebras with triangular nilradicals
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

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