Year: 2025
Type: article
Abstract: A characterization of the finite-dimensional Leibniz algebras with an abelian subalgebra of codimension two over a field F such that char(F)≠2. In short, a finite-dimensional Leibniz algebra of dimension n with an abelian subalgebra of codimension two is solvable and contains an abelian ideal of codimension at most two or it is a direct sum of a Lie one-dimensional solvable extension of the Heisenberg algebra h(F) and Fn−4 or a direct sum of a 3-dimensional simple Lie algebra and Fn−3 or a Leibniz one-dimensional solvable extension of the algebra h(F)⊕Fn−4.
Source: Communications in Algebra
Authors: A. Fernández Ouaridi, D. A. Towers
Institutions: Universidad de Cádiz, Lancaster University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Ministerio de Universidades
OpenAlex ID: W4406899664