A bijective proof of the hook-length formula for skew shapes

DOI10.1016/j.endm.2017.07.034zbMath1379.05123arXiv1703.08414OpenAlexW2617828357WikidataQ114183682 ScholiaQ114183682MaRDI QIDQ5915826

Matjaž Konvalinka

Publication date: 18 January 2018

Published in: Electronic Notes in Discrete Mathematics, European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08414

zbMATH Keywords

hook formulabijective proofstandard Young tableauxhook walkhook-length formulaskew shapes

Mathematics Subject Classification ID

Related Items (13)

Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings ⋮ Skew shape asymptotics, a case-based introduction ⋮ Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials ⋮ Hook formulas for skew shapes. I: \(q\)-analogues and bijections ⋮ Roots of descent polynomials and an algebraic inequality on hook lengths ⋮ Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications ⋮ Sorting probability for large Young diagrams ⋮ Hook, line and sinker: a bijective proof of the skew shifted hook-length formula ⋮ A bijective proof of the hook-length formula for skew shapes ⋮ A bijective proof of the hook-length formula for skew shapes ⋮ Naruse hook formula for linear extensions of mobile posets ⋮ On the Okounkov-Olshanski formula for standard tableaux of skew shapes ⋮ A generalization of balanced tableaux and marriage problems with unique solutions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The weighted hook length formula. III: Shifted tableaux
• The weighted hook length formula
• A short Hook-lengths bijection inspired by the Greene-Nijenhuis-Wilf proof
• A bijective proof of the Hook formula for the number of column strict tableaux with bounded entries
• A Rogers-Ramanujan bijection
• A probabilistic proof of a formula for the number of Young tableaux of a given shape
• A random \(q,t\)-hook walk and a sum of Pieri coefficients
• A \(q\)-analog of the hook walk algorithm for random Young tableaux
• Transition probabilities for continual Young diagrams and the Markov moment problem
• Shifted Jack polynomials, binomial formula, and applications
• Hook formulas for skew shapes. I: \(q\)-analogues and bijections
• Asymptotics of the number of standard Young tableaux of skew shape
• Another involution principle-free bijective proof of Stanley's hook-content formula
• Bijective proofs of the hook formulas for the number of standard Young tableaux, ordinary and shifted
• Hook, line and sinker: a bijective proof of the skew shifted hook-length formula
• Hook formulas for skew shapes. IV: Increasing tableaux and factorial Grothendieck polynomials
• Another probabilistic method in the theory of Young tableaux
• Hook formulas for skew shapes. III: Multivariate and product formulas
• Excited Young diagrams and equivariant Schubert calculus
• On selecting a random shifted young tableau
• A bijective proof of the hook-length formula
• RC-Graphs and Schubert Polynomials
• 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
• A combinatorial problem

This page was built for publication: A bijective proof of the hook-length formula for skew shapes