Abelian subalgebras and ideals of maximal dimension in solvable Leibniz superalgebras

DOI10.1007/s00009-024-02634-zMaRDI QIDQ6623424

Antonio Jesús Calderón Martín, Rosa María Navarro, Amir Fernández Ouaridi, Sofiane Bouarroudj

Publication date: 24 October 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

nilpotentsolvableabelian subalgebraLeibniz superalgebraabelian ideal

Mathematics Subject Classification ID

Superalgebras (17A70) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Cites Work

• Infinitesimal deformations of null-filiform Leibniz superalgebras
• On abelian subalgebras and ideals of maximal dimension in supersolvable Lie algebras
• Varieties of nilpotent Lie algebras of dimension less than six
• A sketch of Lie superalgebra theory
• Varieties of nilpotent Lie superalgebras of dimension \(\leq 5\)
• Solvable Lie and Leibniz superalgebras with a given nilradical
• On the degenerations of solvable Leibniz algebras
• On solvable Lie and Leibniz superalgebras with maximal codimension of nilradical
• Abelian subalgebras and ideals of maximal dimension in solvable Leibniz algebras
• Abelian ideals of maximal dimension for solvable Lie algebras
• The abelian subalgebras of maximal dimensions for general linear Lie superalgebras
• A classification of four-dimensional Lie superalgebras
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS

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