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math.CO2025
Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients
Marino Romero, Joshua Jeishing Wen
We present a variety of new identities involving operators in the theory of wreath Macdonald polynomials. One such family of identities gives five-term relations, analogous to the…
math.CO2025
On Macdonald expansions of -chromatic symmetric functions and the Stanley-Stembridge Conjecture
Sean T. Griffin, Anton Mellit, Marino Romero +2
The Stanley-Stembridge conjecture asserts that the chromatic symmetric function of a -free graph is -positive. Recently, Hikita proved this conjecture by giving an explic…