The Prism tableau model for Schubert polynomials

DOI10.1016/j.jcta.2017.09.009zbMath1373.05219arXiv1509.02545OpenAlexW2964233192MaRDI QIDQ1679342

Alexander Yong, Anna E. Weigandt

Publication date: 9 November 2017

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.02545

zbMATH Keywords

Schubert polynomialssemistandard tableauxbi-Grassmannian permutations

Mathematics Subject Classification ID

Related Items (8)

Inclusion-exclusion on Schubert polynomials ⋮ Schubert polynomials as projections of Minkowski sums of Gelfand-Tsetlin polytopes ⋮ Prism tableaux for alternating sign matrix varieties ⋮ Zero-one Schubert polynomials ⋮ A bijective proof of Macdonald's reduced word formula ⋮ Set-valued Rothe tableaux and Grothendieck polynomials ⋮ On comparability of bigrassmannian permutations ⋮ An orthodontia formula for Grothendieck polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Tower tableaux and Schubert polynomials
• Schubert polynomials and quiver formulas
• Gröbner geometry of Schubert polynomials
• Bijection between bigrassmannian permutations maximal below a permutation and its essential set
• Schubert polynomials and the Littlewood-Richardson rule
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• Schubert polynomials and Bott-Samelson varieties
• Diagram rules for the generation of Schubert polynomials
• Some combinatorial properties of Schubert polynomials
• Schubert polynomials and the nilCoxeter algebra
• Balanced labellings and Schubert polynomials
• Lattices and bases of Coxeter groups
• Schur and Schubert polynomials as Thom polynomials -- cohomology of moduli spaces
• A derivation of Kohnert's algorithm from Monk's rule
• A unified approach to combinatorial formulas for Schubert polynomials
• Subword complexes in Coxeter groups.
• Alternating sign matrices
• Initial complexes of prime ideals
• The Yang-Baxter equation, symmetric functions, and Schubert polynomials
• Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
• Prism tableaux for alternating sign matrix varieties
• Skew Schubert functions and the Pieri formula for flag manifolds
• Presenting the cohomology of a Schubert variety
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials

This page was built for publication: The Prism tableau model for Schubert polynomials