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- W4298359865 abstract "Recently, Naruse presented a beautiful cancellation-free hook-length formula for skew shapes. The formula involves a sum over objects called excited diagrams, and the term corresponding to each excited diagram has hook lengths in the denominator, like the classical hook-length formula due to Frame, Robinson and Thrall. In this paper, we present a simple bijection that proves an equivalent recursive version of Naruse's result, in the same way that the celebrated hook-walk proof due to Green, Nijenhuis and Wilf gives a bijective (or probabilistic) proof of the hook-length formula for ordinary shapes. In particular, we also give a new bijective proof of the classical hook-length formula, quite different from the known proofs." @default.
- W4298359865 created "2022-10-02" @default.
- W4298359865 creator A5049077723 @default.
- W4298359865 date "2017-03-24" @default.
- W4298359865 modified "2023-09-28" @default.
- W4298359865 title "A bijective proof of the hook-length formula for skew shapes" @default.
- W4298359865 doi "https://doi.org/10.48550/arxiv.1703.08414" @default.
- W4298359865 hasPublicationYear "2017" @default.
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