Lenart's bijection via bumpless pipe dreams

DOI10.37236/11391OpenAlexW4319722756MaRDI QIDQ2684896

Zachary Hamaker, Adam Gregory

Publication date: 17 February 2023

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

Full work available at URL: https://arxiv.org/abs/2207.00523

zbMATH Keywords

vexillary permutationsSchubert polynomialssemistandard tableaux

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Classical problems, Schubert calculus (14N15)

Cites Work

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• Maximal fillings of Moon polyominoes, simplicial complexes, and Schubert polynomials
• Relating Edelman-Greene insertion to the Little map
• Flagged Schur functions, Schubert polynomials, and symmetrizing operators
• Some combinatorial properties of Schubert polynomials
• A bijective proof of Macdonald's reduced word formula
• A unified approach to combinatorial formulas for Schubert polynomials
• Balanced tableaux
• Combinatorial aspects of the Lascoux-Schützenberger tree
• Bumpless pipe dreams and alternating sign matrices
• Bijective proofs of Monk's rule for Schubert and double Schubert polynomials with bumpless pipe dreams
• Gröbner geometry of vertex decompositions and of flagged tableaux
• RC-Graphs and Schubert Polynomials
• Back stable Schubert calculus

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