Inverse moment problem for non-Abelian Coxeter double Bruhat cells

Abstract

We solve the inverse problem for non-Abelian Coxeter double Bruhat cells in terms of the matrix Weyl functions. This result can be used to establish complete integrability of the non-Abelian version of nonlinear Coxeter-Toda lattices in $G{L}_n$.

Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=846

References in corpus (2)

• Q-systems, Heaps, Paths and Cluster Positivity
• Noncommutative integrability, paths and quasi-determinants