The variety of nilpotent pairs $(A,B)$ with $[A,B]=\lambda I$

Vlad Roman, Robert M. Guralnick

Let $k$ be an algebraically closed field of characteristic $p>0$. We consider the variety of nilpotent pairs $(A,B)$ with $[A,B]=\lambda I$, namely the set of pairs $ X = \{ (A,B) \in M_…