Diameter of commuting graphs of Lie algebras
Abstract
In this paper, we study the connectedness of the commuting graph of a general Lie algebra and provide a process to determine whether the commuting graph is connected or not, as well as to compute an upper bound for its diameter. In addition, we will examine the connectedness and diameter of the commuting graphs of some remarkable classes of Lie algebras, including: (1) a class of Lie algebras with one- or two-dimensional derived algebras; and (2) a class of solvable Lie algebras over the real field of dimension up to [Formula: see text].
Fields of Study & Subjects
Advanced Topics in Algebra
Finite Group Theory Research
Advanced Algebra and Geometry
Publication details
- Journal / source
- Journal of Algebra and Its Applications
- Publisher
- World Scientific Pub Co Pte Ltd
- Publication date
- 16 April 2026
- Language
- EN