Integer partitions | Symmetric functions | Representation theory of finite groups

Young tableau

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. 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. (Wikipedia).

Young tableau
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Group representation | Symmetric function | Special unitary group | Young's lattice | Tensor product | Representation theory of the symmetric group | Littlewood–Richardson rule | Lattice (order) | Schur–Weyl duality | Plactic monoid | Grassmannian | Symmetric group | Invariant theory | Combinatorics | Schubert polynomial | General linear group | Homogeneous coordinate ring | Representation theory | Young symmetrizer | Mathematics | Induced representation | Robinson–Schensted–Knuth correspondence | Jeu de taquin | Algebraic geometry | Plane partition | Jack function | Special linear group | Complex number | Partition (number theory) | Restricted representation | Hook length formula | W. V. D. Hodge | Robinson–Schensted correspondence | Schubert calculus | Irreducible representation | Schur polynomial