Formal reduction of linear difference systems

Guoting Chen and Abdelmajid Fahim

Vol. 182 (1998), No. 1, 37–54

DOI: 10.2140/pjm.1998.182.37

Abstract

The purpose of this paper is to give a reduction procedure for the construction of a Turrittin’s canonical form associated with an invertible linear difference system. The nilpotent case is treated by methods of deformation of orbits under the adjoint representation of GL(n,C). We prove also a statement on uniqueness.

Milestones

Received: 15 March 1996

Revised: 11 February 1997

Published: 1 January 1998