Proper representations of linear differential systems

Author: Vakhtang Lomadze
Keywords: Linear differential system, graded and filtered modules, regularity at infinity, proper representation.
Annotation:

Proper representations of a linear differential system are defined as representations that have not singularity at infinity. We show that they always exist. Also we show that minimal proper representations are uniquely determined up to premultiplication by a unimodular polynomial matrix of special form.