✦ LIBER ✦

Binomial determinants, paths, and hook length formulae

✍ Scribed by Ira Gessel; Gérard Viennot

Publisher: Elsevier Science
Year: 1985
Tongue: English
Weight: 828 KB
Volume: 58
Category: Article
ISSN: 0001-8708
DOI: 10.1016/0001-8708(85)90121-5

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✦ Synopsis

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.

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