On solvable Lie algebras of small breadth
Rings and Algebras
2026-03-02 v2
Abstract
The concept of breadth has been used in the classification of p-groups and nilpotent Lie algebras. In this paper, we investigate this notion for finite-dimensional solvable Lie algebras. Our main focus is to characterize solvable Lie algebras of breadth less than or equal to 2. More importantly, we provide a complete classification of such Lie algebras that are pure and nonnilpotent over the complex numbers.
Cite
@article{arxiv.2507.00602,
title = {On solvable Lie algebras of small breadth},
author = {Borworn Khuhirun and Korkeat Korkeathikhun and Songpon Sriwongsa and Keng Wiboonton},
journal= {arXiv preprint arXiv:2507.00602},
year = {2026}
}
Comments
12 pages; The base fields are clarified more explicitly