64 citations · 295 across the 51 of their papers we have counts for
52 papers
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…
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…
-functions and Koornwinder polynomials
Laura Colmenarejo, Arun Ram
This paper develops the theory of Macdonald-Koornwinder polynomials in parallel analogy with the work done for the case in [CR22]. In the context of the type affine r…
Clebsch-Gordan coefficients for Macdonald polynomials
Aritra Bhattacharya, Arun Ram
In this paper we use the double affine Hecke algebra to compute the Macdonald polynomial products and for type and type Macdonald polynomial…
Set-valued tableaux for Macdonald polynomials
Zajj Daugherty, Arun Ram
Set-valued tableaux formulas play an important role in Schubert calculus. Using the box greedy reduced word for the construction of the Macdonald polynomials, we convert the alcove…
Monk rules for type Macdonald polynomials
Tom Halverson, Arun Ram
In this paper we give Monk rules for Macdonald polynomials which are analogous to the Monk rules for Schubert polynomials. These formulas are similar to the formulas given by Barat…