Matrix-valued $\theta$-deformed bi-orthogonal polynomials, Non-commutative Toda theory and Bäcklund transformation

Claire Gilson, Shi-Hao Li, Ying Shi

This paper is devoted to revealing the relationship between matrix-valued $\theta$-deformed bi-orthogonal polynomials and non-commutative Toda-type hierarchies. In this procedure, Wrons…