JORDAN TYPES OF COMMUTING NILPOTENT MATRICES


ÖZTÜRK S.

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol.33, no.4, pp.1097-1102, 2018 (ESCI) identifier identifier

Abstract

Let A and B be matrices which are polynomials in r pairwise commuting nilpotent matrices over a field. We give a sufficient condition for the null space of A(i) to equal that of B-i for all i, in particular, for A and B to be similar.