\(p\)-filiform Leibniz algebras of maximum length

DOI10.1016/j.laa.2014.03.004zbMath1360.17002arXiv1311.5475OpenAlexW2057200215WikidataQ122958029 ScholiaQ122958029MaRDI QIDQ2448246

L. M. Camacho, J. R. Gómez, Bakhrom A. Omirov, Elisa M. Cañete

Publication date: 30 April 2014

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

Full work available at URL: https://arxiv.org/abs/1311.5475

zbMATH Keywords

Lie algebranilpotencycharacteristic sequenceLeibniz algebranatural gradation\(p\)-filiformgradation of maximum length

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Graded Lie (super)algebras (17B70) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items

The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator, The classification of 4-dimensional Leibniz algebras, Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2, \(p\)-filiform Leibniz algebras of maximum length, Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ², Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³, Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasi-filiform Leibniz algebras of maximum length
• A noncommutative version of Lie algebras: Leibniz algebras
• \(p\)-filiform Leibniz algebras of maximum length
• The Classification of Naturally Gradedp-Filiform Leibniz Algebras
• 3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• Classification of solvable Leibniz algebras with null-filiform nilradical
• Quasi-filiform Lie algebras of maximum length