Diameters of the Commuting Graphs of Simple Lie Algebras

Key Points

• The research aims to determine the diameter of the commuting graphs associated with simple Lie algebras.
• Defined commuting graph for a Lie algebra based on the center.
• Analyzed the relationship between vertices in the graph where vertices represent elements of the Lie algebra.
• Considered the properties of finite-dimensional simple Lie algebras over an algebraically closed field.
• Identified specific diameters for various classes of simple Lie algebras.
• Published findings indicate the influence of algebraic properties on commuting graph structure.