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For standard Young tableaux, semistandard Young tableaux, and other related two-dimensional arrays of numbers like plane partitions. Including their combinatorial theory and their application in representation theory and algebraic geometry.

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Statistics of irreps of S_n that can be read off the Young diagram, and consequences of Kero...

There is a beautiful interpretation of $f(\chi)$ (that is to say, of the length of the first column of the partition), though it isn't very representation-theoretic. One way to generate Plancherel mea …
Hugh Thomas's user avatar
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