Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2018; 33(4): 1097-1102

Online first article June 18, 2018      Printed October 31, 2018

https://doi.org/10.4134/CKMS.c170424

Copyright © The Korean Mathematical Society.

Jordan types of commuting nilpotent matrices

Semra \"Ozt\"urk

Middle East Technical University

Abstract

Go to

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.

Keywords: Jordan canonical form, Jordan type, pairwise commuting nilpotent matrices

MSC numbers: Primary 15A21; Secondary 15A03, 15B99

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS