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- W2890431985 abstract "A few years ago, Naruse presented a beautiful cancellation-free hook-length formula for skew shapes, both straight and shifted. The formula involves a sum over objects called emph{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. Recently, the formula for skew straight shapes was proved via a simple bumping algorithm. The aim of this paper is to extend this result to skew shifted shapes. Since straight skew shapes are special cases of skew shifted shapes, this is a bijection that proves the whole family of hook-length formulas, and is also the simplest known bijective proof for shifted (non-skew) shapes. A weighted generalization of Naruse's formula is also presented." @default.
- W2890431985 created "2018-09-27" @default.
- W2890431985 creator A5049077723 @default.
- W2890431985 date "2018-09-07" @default.
- W2890431985 modified "2023-09-27" @default.
- W2890431985 title "Hook, line and sinker: a bijective proof of the skew shifted hook-length formula" @default.
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