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Hook formula and related identities

✍ Scribed by A. M. Vershik

Publisher: Springer US
Year: 1992
Tongue: English
Weight: 814 KB
Volume: 59
Category: Article
ISSN: 1573-8795
DOI: 10.1007/bf01480684

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

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✍ Amitai Regev 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 174 KB

The study of identities of hook pairs and of content pairs of partitions in [3] It is proved that for such partitions there are refinements of the identities in [3], and further identities exist which arise from half of each of the diagrams involved.

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Binomial determinants, paths, and hook length formulae

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We give a combinatorial interpretation for any minor (or binomial determinant) of the matrix of binomial coefficients. This interpretation involves configurations of nonintersecting paths, and is related to Young tableaux and hook length formulae.