Comaximal Graphs of finite-dimensional Lie algebras over finite fields: Triangle counts and structural invariants

David Towers, Yesneri Zuleta, Ismael Gutierrez

Let $L$ be a finite-dimensional Lie algebra over a field $F$. The comaximal graph $\Gamma (L)$ has as vertices the proper nonzero subalgebras of $L$, two of them adjacent whenever they g…