Minimal skew semistandard tableaux and the Hillman-Grassl correspondence

DOI10.1016/J.AAM.2024.102792MaRDI QIDQ6655712

Greta Panova, Alejandro H. Morales, GaYee Park

Publication date: 27 December 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of representation theory (05E10)

Cites Work

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• The Hillman-Grassl correspondence and the enumeration of reverse plane partitions
• Reverse plane partitions and tableau hook numbers
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Asymptotics of the number of standard Young tableaux of skew shape
• Ribbon Schur functions
• Hook, line and sinker: a bijective proof of the skew shifted hook-length formula
• Skew shape asymptotics, a case-based introduction
• On the Okounkov-Olshanski formula for standard tableaux of skew shapes
• Hook formulas for skew shapes. III: Multivariate and product formulas
• Excited Young diagrams and equivariant Schubert calculus
• Gröbner geometry of vertex decompositions and of flagged tableaux
• Generalized Schur Function Determinants Using the Bazin Identity
• Sorting probability for large Young diagrams
• Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
• The Hook Graphs of the Symmetric Group
• A bijective proof of the hook-length formula for skew shapes
• Naruse hook formula for linear extensions of mobile posets
• Skew hook formula for \(d\)-complete posets via equivariant \(K\)-theory
• Minuscule reverse plane partitions via quiver representations
• Roots of descent polynomials and an algebraic inequality on hook lengths

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