Approximate factorization and concentration for characters of symmetric groups

Details Approximate factorization and concentration for characters of symmetric groups Approximate factorization and concentration for characters of symmetric groups

2000-06-15

arxiv.org/abs/math/0006111v2

Mathematics

Representation Theory

12 pages, 2 figures

Scientific paper

We prove a factorization-concentration result for characters of symmetric
groups. This is then applied to the asymptotic behaviour of the decomposition
of the tensor representations. There are connections with the Pastur-Marcenko
distribution of random matrix theory, and freely infinitely divisible
distributions.

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