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Zero-one dual characters of flagged Weyl modules
- Part of
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- Journal:
- Canadian Journal of Mathematics , First View
- Published online by Cambridge University Press:
- 08 July 2025, pp. 1-23
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- Article
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We prove a criterion of when the dual character
$\chi _{D}(x)$ of the flagged Weyl module associated a diagram D in the grid 
$[n]\times [n]$ is zero-one, that is, the coefficients of monomials in 
$\chi _{D}(x)$ are either 0 or 1. This settles a conjecture proposed by Mészáros–St. Dizier–Tanjaya. Since Schubert polynomials and key polynomials occur as special cases of dual flagged Weyl characters, our approach provides a new and unified proof of known criteria for zero-one Schubert/key polynomials due to Fink–Mészáros–St. Dizier and Hodges–Yong, respectively.
