Schubert polynomials as integer point transforms of generalized permutahedra

DOI10.1016/j.aim.2018.05.028zbMath1443.05179arXiv1706.04935OpenAlexW2731933298MaRDI QIDQ1639648

Alex Fink, Karola Mészáros, Avery St. Dizier

Publication date: 13 June 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04935

zbMATH Keywords

Newton polytopeSchubert polynomialgeneralized permutahedronkey polynomialdual character of the flagged Weyl moduleinteger point transform

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35) Classical problems, Schubert calculus (14N15)

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