English

The weighted hook length formula III: Shifted tableaux

Combinatorics 2010-06-24 v1

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.

Cite

@article{arxiv.1006.4593,
  title  = {The weighted hook length formula III: Shifted tableaux},
  author = {Matjaz Konvalinka},
  journal= {arXiv preprint arXiv:1006.4593},
  year   = {2010}
}

Comments

27 pages, 22 figures

R2 v1 2026-06-21T15:40:08.778Z