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arXiv · 2507.00602

On solvable Lie algebras of small breadth

Borworn Khuhirun·Korkeat Korkeathikhun·Songpon Sriwongsa·Keng Wiboonton
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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.

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Borworn Khuhirun, Korkeat Korkeathikhun, Songpon Sriwongsa, Keng Wiboonton. 2025-07-01. On solvable Lie algebras of small breadth. https://arxiv.org/abs/2507.00602

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