Schubert polynomials and \(k\)-Schur functions

zbMath1302.05203arXiv1209.4956MaRDI QIDQ470952

Carolina Benedetti, Nantel Bergeron

Publication date: 13 November 2014

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.4956

zbMATH Keywords

Hopf algebrasBruhat orderSchubert polynomials\(k\)-Schur functions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Classical problems, Schubert calculus (14N15) Hopf algebras and their applications (16T05)

Related Items (2)

Fomin-Greene Monoids and Pieri Operations ⋮ Schubert polynomials and \(k\)-Schur functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Schubert polynomials and \(k\)-Schur functions
• A monoid for the Grassmannian Bruhat order
• Hopf algebras and edge-labeled posets
• Noncommutative Pieri operators on posets
• Tableau atoms and a new Macdonald positivity conjecture
• Schubert polynomials, the Bruhat order, and the geometry of flag manifolds
• A \(k\)-tableau characterization of \(k\)-Schur functions
• Affine approach to quantum Schubert calculus
• Expansion of \(k\)-Schur functions for maximal rectangles within the affine nilCoxeter algebra
• The puzzle conjecture for the cohomology of two-step flag manifolds
• Tableaux on \(k+1\)-cores, reduced words for affine permutations, and \(k\)-Schur expansions
• Skew Schubert functions and the Pieri formula for flag manifolds
• Positroid varieties: juggling and geometry
• Combinatorics of Coxeter Groups
• Affine insertion and Pieri rules for the affine Grassmannian
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• The honeycomb model of $GL_n(\mathbb C)$ tensor products I: Proof of the saturation conjecture
• Fomin-Greene Monoids and Pieri Operations
• Schubert polynomials for the affine Grassmannian
• Quantum cohomology and the 𝑘-Schur basis

This page was built for publication: Schubert polynomials and \(k\)-Schur functions