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Inverse moment problem for non-Abelian Coxeter double Bruhat cells

By Michael Gekhtman

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 $GL_n$.Comment: Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=84

Topics: Nonlinear Sciences - Exactly Solvable and Integrable Systems, Mathematics - Functional Analysis
Year: 2016
OAI identifier: oai:arXiv.org:1609.01555

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