A Polynomial Recovery Criterion for Forced Commutativity in the Matrix Square-Root Fiber of a Square-Free Cubic Polynomial

Oleg Kiriukhin

Let $k$ be an algebraically closed field of characteristic different from $2$ and $3$, and let $f(t)=t^3+at+b\in k[t]$ be square-free. For $X\in M_m(k)$ set $A=f(X)$. This paper st…