Roots of descent polynomials and an algebraic inequality on hook lengths

DOI10.37236/10753arXiv1910.14631OpenAlexW2982570320MaRDI QIDQ6117262

Pakawut Jiradilok, Thomas McConville

Publication date: 16 February 2024

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

Full work available at URL: https://arxiv.org/abs/1910.14631

zbMATH Keywords

Naruse's hook-length formulastandard Young tableaux of a ribbon shape

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Combinatorial inequalities (05A20)

Cites Work

• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Asymptotics of the number of standard Young tableaux of skew shape
• Some coefficient sequences related to the descent polynomial
• Hook, line and sinker: a bijective proof of the skew shifted hook-length formula
• Descent polynomials
• Coefficients and Roots of Peak Polynomials
• Enumeration of Standard Young Tableaux
• Excited Young diagrams and equivariant Schubert calculus
• The peak algebra and the descent algebras of types B and D
• Permutations with given peak set
• The Hook Graphs of the Symmetric Group
• Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings
• A bijective proof of the hook-length formula for skew shapes

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