scientific article; zbMATH DE number 2135025

DOI10.1155/S1073792804142244zbMath1072.14071arXivmath/0407051OpenAlexW1867438006MaRDI QIDQ4650699

Alexander Yong, Allen Knutson

Publication date: 18 February 2005

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407051

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

\(K\)-theorySchubert problem

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Classical problems, Schubert calculus (14N15) (K)-theory of schemes (19E08) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

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Determinantal formulas for SEM expansions of Schubert polynomials ⋮ A combinatorial rule for (co)minuscule Schubert calculus ⋮ Reduced word enumeration, complexity, and randomization ⋮ Bumpless pipe dreams encode Gröbner geometry of Schubert polynomials ⋮ Littlewood-Richardson coefficients for reflection groups. ⋮ A canonical expansion of the product of two Stanley symmetric functions ⋮ An efficient algorithm for deciding vanishing of Schubert polynomial coefficients ⋮ Bumpless pipe dreams and alternating sign matrices ⋮ Crystal structures for symmetric Grothendieck polynomials ⋮ Gröbner geometry of Schubert polynomials through ice ⋮ Gröbner geometry of Schubert polynomials through ice ⋮ Polynomial bases: Positivity and Schur multiplication ⋮ Gröbner geometry of vertex decompositions and of flagged tableaux

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