Principal specialization of dual characters of flagged Weyl modules
Combinatorics
2021-05-17 v1
Abstract
Schur polynomials are special cases of Schubert polynomials, which in turn are special cases of dual characters of flagged Weyl modules. The principal specialization of Schur and Schubert polynomials has a long history, with Macdonald famously expressing the principal specialization of any Schubert polynomial in terms of reduced words. We study the principal specialization of dual characters of flagged Weyl~modules. Our result yields an alternative proof of a conjecture of Stanley about the principal specialization of Schubert polynomials, originally proved by Weigandt.
Keywords
Cite
@article{arxiv.2105.06531,
title = {Principal specialization of dual characters of flagged Weyl modules},
author = {Karola Mészáros and Avery St. Dizier and Arthur Tanjaya},
journal= {arXiv preprint arXiv:2105.06531},
year = {2021}
}
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8 pages