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In mathematics, a Young tableau (/tæˈbloʊ, ˈtæbloʊ/; plural: tableaux) is a combinatorial object useful in representation theory and Schubert calculus. It provides a convenient way to describe the group representations of the symmetric and general linear groups and to study their properties. Young tableaux were introduced by Alfred Young, a mathematician at Cambridge University, in 1900.[1][2] They were then applied to the study of the symmetric group by Georg Frobenius in 1903. Their theory was further developed by many mathematicians, including Percy MacMahon, W. V. D. Hodge, G. de B. Robinson, Gian-Carlo Rota, Alain Lascoux, Marcel-Paul Schützenberger and Richard P. Stanley.
- ^ Knuth, Donald E. (1973), The Art of Computer Programming, Vol. III: Sorting and Searching (2nd ed.), Addison-Wesley, p. 48,
Such arrangements were introduced by Alfred Young in 1900
. - ^ Young, A. (1900), "On quantitative substitutional analysis", Proceedings of the London Mathematical Society, Series 1, 33 (1): 97–145, doi:10.1112/plms/s1-33.1.97. See in particular p. 133.