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Results tagged with symmetric-functions
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user 979
Symmetric functions are symmetric polynomials, in finitely many, or countably infinitely many variables. They arise in the representation theory of symmetric groups and in the polynomial representation theory of general linear groups. Bases of the ring of symmetric functions are indexed by integer partitions. Schur functions, elementary symmetric functions, complete symmetric functions, and power sum symmetric functions are the most commonly used bases.
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