The weighted hook length formula III: Shifted tableaux

2010/06/23 by Matjaž Konvalinka, Konvalinka, Matjaz
Chemistry · Mathematics · #05A19 #05E10 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1006.4593

openalex publication_date 2010/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, a simple proof of the hook length formula was given via the branching rule. In this paper, we extend the results to shifted tableaux. We give a bijective proof of the branching rule for the hook lengths for shifted tableaux; present variants of this rule, including weighted versions; and make the first tentative steps toward a bijective proof of the hook length formula for d-complete posets.

Citations

• A bijective proof of the hook-length formula for shifted standard tableaux

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