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5 votes
1 answer
577 views

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 $S_n$ ...
glS's user avatar
  • 7,095
3 votes
0 answers
73 views

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 ...
Brian's user avatar
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