Schubert polynomials as integer point transforms of generalized permutahedra

By Alex Fink, Karola M'esz'aros, Avery St. Dizier. Advances in Mathematics, 2017

61 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6159607490ba41326eb4cfed772faf13bd50f756