Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants

DOI10.46298/dmtcs.6632zbMath1462.05357arXiv1701.01182OpenAlexW3157046770MaRDI QIDQ4987275

Robert A. Proctor, Matthew J. Willis

Publication date: 3 May 2021

Published in: Discrete Mathematics & Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.01182

zbMATH Keywords

nonintersecting lattice pathsJacobi-Trudi identityGessel-Viennot methodflagged Schur functionparabolic Catalan number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10)

Related Items (1)

On the Okounkov-Olshanski formula for standard tableaux of skew shapes

Uses Software

• OEIS

Cites Work

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• Determinantal identities for flagged Schur and Schubert polynomials
• Semistandard tableaux for Demazure characters (key polynomials) and their atoms
• Chains in the Bruhat order
• Binomial determinants, paths, and hook length formulae
• Key polynomials and a flagged Littlewood-Richardson rule
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Counting tableaux with row and column bounds
• Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials)
• Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers

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