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Why do partitions correspond to irreps in $S_n$?
As stated for example in these notes (Link to pdf), top of page 8, irreps of the symmetric group $S_n$ correspond to partitions of $n$. This is justified with the following statement:
Irreps of $S_n$ ...
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What are some invariants/properties of the conjugacy classes of the symmetric group $S_n$? [closed]
I've recently realized that there is an isomorphism between the integer partitions of $n$ and the symmetric group $S_n$. There are many documented properties of integer partitions of $n$ but I can't ...