English

Schubert polynomials as integer point transforms of generalized permutahedra

Combinatorics 2017-06-19 v2

Abstract

We show that the dual character of the flagged Weyl module of any diagram is a positively weighted integer point transform of a generalized permutahedron. In particular, Schubert and key polynomials are positively weighted integer point transforms of generalized permutahedra. This implies several recent conjectures of Monical, Tokcan and Yong.

Keywords

Cite

@article{arxiv.1706.04935,
  title  = {Schubert polynomials as integer point transforms of generalized permutahedra},
  author = {Alex Fink and Karola Mészáros and Avery St. Dizier},
  journal= {arXiv preprint arXiv:1706.04935},
  year   = {2017}
}

Comments

8 pages. Corrected title in arXiv metadata (d'oh); no change to manuscript

R2 v1 2026-06-22T20:19:54.422Z