2 papers
math.CO2026
Formulas for Koornwinder polynomials
Laura Colmenarejo, Lucas Gagnon, Arun Ram
This paper provides formulas for Koornwinder polynomials in analogy with the creation formula, the alcove walk formula and the non-attacking fillings formula for the type Ma…
math.RT2025
Schur--Weyl duality for diagonalizing a Markov chain on the hypercube
Persi Diaconis, Andrew Lin, Arun Ram
We show how the tools of modern algebraic combinatorics -- representation theory, Murphy elements, and particularly Schur--Weyl duality -- can be used to give an explicit orthonorm…