Nilpotent matrices having a given Jordan type as maximum commuting nilpotent orbit

Anthony Iarrobino, Leila Khatami, Bart Van Steirteghem +1

The Jordan type of a nilpotent matrix is the partition giving the sizes of its Jordan blocks. We study pairs of partitions $(P,Q)$, where $Q=\mathcal{Q}(P)$ is the Jordan type of…