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math.CO2022
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…
math.CO2022
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…
math.CO2022
c-functions and Macdonald polynomials
Laura Colmenarejo, Arun Ram
This is a paper about -functions and Macdonald polynomials. There are -function formulas for -expansions of and , principal specializations of and $E_…