Abstract: In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with $B$ by characterizing the corresponding partitions.Keywords: nilpotent matrix, centralizer, nilpotent orbitPublished in DiRROS: 26.03.2024; Views: 100; Downloads: 52 Full text (536,08 KB)This document has many files! More...
