Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension

DOI10.1080/00927872.2020.1728290zbMath1480.17004arXiv1808.06171OpenAlexW3007728855MaRDI QIDQ5119302

No author found.

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1808.06171

zbMATH Keywords

extensionnilradicalLeibniz algebra

Mathematics Subject Classification ID

Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Radical theory (nonassociative rings and algebras) (17A65)

Related Items

Residually solvable extensions of an infinite dimensional filiform Leibniz algebra, Classification of (2n−1)-dimensional solvable Leibniz algebras with n-dimensional nilradical

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classification of 4-dimensional Leibniz algebras
• An algorithm for the classification of 3-dimensional complex Leibniz algebras
• A noncommutative version of Lie algebras: Leibniz algebras
• On classification of 5-dimensional solvable Leibniz algebras
• On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• A class of solvable Lie algebras and their Casimir invariants
• Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ²
• Solvable Lie algebras with Abelian nilradicals
• Solvable Leibniz algebras with naturally graded non-Liep-filiform nilradicals
• Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³
• Solvable Leibniz Algebras with Heisenberg Nilradical
• Classification of solvable Leibniz algebras with null-filiform nilradical