3 papers
math.CA2025
Using quasi-Darboux transformations to construct exceptional matrix polynomials
Ignacio Bono Parisi, Antonio J. Durán, Ignacio N. Zurrián
We introduce a couple of methods to construct exceptional matrix polynomials. One of them uses what we have called quasi-Darboux transformations. This seems to be a more powerful m…
math.RT2024
On the basic representation of the double affine Hecke algebra at critical level
J. F. van Diejen, E. Emsiz, I. N. Zurrián
We construct the basic representation of the double affine Hecke algebra at critical level associated to an irreducible reduced affine root system with a reduced gradient…
math.CA2024
On a new equivalence relation for matrix-valued orthogonal polynomials
Ignacio Bono Parisi, Inés Pacharoni, Inés Pacharoni +2
In this work, we give some criteria that allow us to decide when two sequences of matrix-valued orthogonal polynomials are related via a Darboux transformation and how to build suc…