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Results tagged with symmetric-groups
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user 979
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
universality of Macdonald polynomials
There is a result by Sergei Kerov (in his book Asymptotic representation theory of the symmetric group and its applications in analysis) which somewhat charaterizes the Macdonald symmetric functions. …
- 1,765
5
votes
Accepted
Asymptotic character theory of unitary groups via shifted Schur functions
Yes, they probably mean https://arxiv.org/abs/q-alg/9709011
There, they consider the Jack generalization of the problem, but if you set $\theta=1$, then you get the theory of characters of the unitary …
- 1,765