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arxiv: 1609.01555 · v1 · pith:3F3FBH64new · submitted 2016-09-02 · 🌊 nlin.SI · math.FA

Inverse moment problem for non-Abelian Coxeter double Bruhat cells

classification 🌊 nlin.SI math.FA
keywords non-abelianbruhatcellscoxeterdoubleinverseproblemcomplete
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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 $GL_n$.

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