Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions

Published 13 Dec 2024 in math.CO | (2412.09929v1)

Abstract: We explain the equality between the two sets of formulas for $q$-Whittaker functions and modified Hall-Littlewood functions obtained by Haglund, Haiman and Loehr - the Inv formula and Ayyer, Mandelshtam and Martin - the Quinv formula by use of weighted path symmetric functions introduced by Carlsson and Mellit.

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Aritra Bhattacharya

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