Title:

On Jordan-Chevalley decomposition

Creator:

Bajorska, Beata

Abstract:

Expressing a linear operator on a finite dimensional vector space over any field K as a sum of two commuting operators - semisimple and nilpotent - is called the Jordan-Chevalley decomposition of f. It is known that this decomposition exists for an arbitrary f if only K is perfect. In this paper we give some methods for determining the decomposition.

Keywords:

linear operator ; Jordan-Chevalley decomposition ; perfect field

Date:

2011

Resource Identifier:

"Dorobek" bibliographic database - record no. 0000080074

Language:

eng

Licence:

CC-BY 3.0