Geodesic
The weighted hook length formula. III: Shifted tableaux
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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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.
DOI : 10.37236/588
Classification : 05A17, 05A19, 05E10
Mots-clés : hook length formula, \(d\)-complete posets 
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     author = {Matja\v{z} Konvalinka},
     title = {The weighted hook length formula. {III:} {Shifted} tableaux},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/588},
     zbl = {1233.05032},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/588/}
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Matjaž Konvalinka. The weighted hook length formula. III: Shifted tableaux. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/588

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