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JCT
2011

The weighted hook length formula

9 years 6 months ago
The weighted hook length formula
Abstract. Based on the ideas in [CKP], we introduce the weighted analogue of the branching rule for the classical hook length formula, and give two proofs of this result. The first proof is completely bijective, and in a special case gives a new short combinatorial proof of the hook length formula. Our second proof is probabilistic, generalizing the (usual) hook walk proof of Green-Nijenhuis-Wilf [GNW1], as well as the q-walk of Kerov and the (q, t)-walk of Garsia-Haiman [Ker1, GH]. Further applications are also presented.
Ionut Ciocan-Fontanine, Matjaz Konvalinka, Igor Pa
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where JCT
Authors Ionut Ciocan-Fontanine, Matjaz Konvalinka, Igor Pak
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