Non-Commutative Representations of Families of k^2 Commutative Polynomials in 2k^2 Commuting Variables

Harry Dym, J. W. Helton, Caleb Meier

Given a collection P of k^2 commutative polynomials in 2k^2 commutative variables, the objective is to find a condensed representation of these polynomials in terms of a single non…