scientific article; zbMATH DE number 7203500

zbMath1440.05229MaRDI QIDQ5111043

Alexander Yong, Anna E. Weigandt

Publication date: 26 May 2020

Full work available at URL: https://dmtcs.episciences.org/6386

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

zbMATH Keywords

Young tableauSchubert polynomialsGröbner geometry

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Classical problems, Schubert calculus (14N15)

Cites Work

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• Tower tableaux and Schubert polynomials
• Schubert polynomials and quiver formulas
• Gröbner geometry of Schubert polynomials
• 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
• A derivation of Kohnert's algorithm from Monk's rule
• A unified approach to combinatorial formulas for Schubert polynomials
• Subword complexes in Coxeter groups.
• 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
• Skew Schubert functions and the Pieri formula for flag manifolds
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials

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