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Young tableau
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<p>In <a href="/facts/Mathematics/pxTouaz4">mathematics</a>, a Young tableau is a <a href="/facts/Combinatorics/k14xUoKT">combinatorial</a> object useful in <a href="/facts/Representation_theory/3ydLtaGH">representation theory</a> and <a href="/facts/Schubert_calculus/1U1ayXqR">Schubert calculus</a>. It provides a convenient way to describe the <a href="/facts/Group_representation/FsuuDagQ">group representations</a> of the <a href="/facts/Symmetric_group/RUksK5l5">symmetric</a> and <a href="/facts/General_linear_group/B54gNILS">general linear</a> <a href="/facts/Group_(mathematics)/IQTYqINt">groups</a> and to study their properties. </p><p>Young tableaux were introduced by <a href="/facts/Alfred_Young_(mathematician)/L3R6cM6D">Alfred Young</a>, a <a href="/facts/Mathematician/eaFSR8Fx">mathematician</a> at <a href="/facts/University_of_Cambridge/0la7aX9o">Cambridge University</a>, in 1900. They were then applied to the study of the symmetric group by <a href="/facts/Georg_Frobenius/4cXXQyu5">Georg Frobenius</a> in 1903. Their theory was further developed by many mathematicians, including <a href="/facts/Percy_MacMahon/scUegUSn">Percy MacMahon</a>, <a href="/facts/W._V._D._Hodge/5XsdVugb">W. V. D. Hodge</a>, <a href="/facts/Gilbert_de_Beauregard_Robinson/fjQrU8qJ">G. de B. Robinson</a>, <a href="/facts/Gian-Carlo_Rota/zLSPLVwR">Gian-Carlo Rota</a>, <a href="/facts/Alain_Lascoux/LxRX6W0H">Alain Lascoux</a>, <a href="/facts/Marcel-Paul_Sch%25C3%25BCtzenberger/aF62Lo9H">Marcel-Paul Schützenberger</a> and <a href="/facts/Richard_P._Stanley/8bQ4QrLM">Richard P. Stanley</a>. </p>