3 papers
math.RT2025
Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
The rank two Jacobi algebra is used to provide an interpretation of the two-variable Jacobi polynomials on the triangle, as overlaps betwee…
nlin.SI2025
Linearization of the box-ball system with box capacity L
Atsushi Maeno, Satoshi Tsujimoto
We construct a bijection between the state of the box-ball system with box capacity L and a pair of two sequences. In time evolution, one of the sequences moves at speed 1, and the…
math.RT2024
Meta algebras and biorthogonal rational functions: the -Hahn case
Pierre-Antoine Bernard, Abderahmane Bouziane, Samuel Pellerin +5
A unified algebraic interpretation of both finite families of orthogonal polynomials and biorthogonal rational functions of -Hahn type is provided. The approach relies on the me…