11 Maggio, 2016 14:30

Sezione di Geometria, Algebra e loro applicazioni

Uni- and multivariate discrete orthogonal polynomials using Dirac operators

Hendrik De Bie, Ghent University

Aula seminari del 3 piano

In the second talk, we will reverse the question of the previous talk. Given a family of discrete orthogonal polynomials, can we construct a Dirac model so that they arise as expansion coefficients?
We will answer this question affirmatively for the Racah polynomials and their generalization the Bannai-Ito polynomials. In the univariate case we will use a generalized Dirac operator in 3D, while for the multivariate case we have to resort to nD. Along the way, we will construct a new symmetry algebra that can be interpreted as a higher rank Bannai-Ito algebra.