English

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

Combinatorics 2024-12-16 v1

Abstract

We explain the equality between the two sets of formulas for qq-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.

Keywords

Cite

@article{arxiv.2412.09929,
  title  = {Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions},
  author = {Aritra Bhattacharya},
  journal= {arXiv preprint arXiv:2412.09929},
  year   = {2024}
}