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Results tagged with symmetric-groups
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user 22846
The symmetric group $S_n$ is the group of permutations of the set of integers $\{1,\dots,n\}$. This has $n!$ elements and is generated by the $n-1$ involutions exchanging consecutive integers. The symmetric groups form the simplest family of Coxeter groups.
4
votes
Character values at a cyclic permutation of a symmetric group
Here's a slightly modified version of Geoff's answer that doesn't use modular representation theory but just the representation theory of the symmetric group.
I'll assume the characters of $\mathfrak …
- 2,902
5
votes
Accepted
Sum of skew characters over hooks and "odd" partitions
I know you were asking for a reference, and there may be better approaches, but just to offer one proof of your statement based on the Murnaghan–Nakayama formula. Assume $m>0$ then any skew tableaux $ …
- 2,902