The uniform normal form of a linear mapping

2014/05/27 by Cushman, Richard
#FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1405.7024

Abstract

Let V be a finite dimensional vector space over a field k of characteristic 0. Let A be a linear mapping of V into itself. This paper gives a normal form for A, which gives a better description of the structure of A than the companion matrix. The computation of this normal form uses only operations from k and does not require finding roots of any polynomial.

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