Asymptotics of Plancherel measures for $GL(n,q)$

Details Asymptotics of Plancherel measures for $GL(n,q)$ Asymptotics of Plancherel measures for $GL(n,q)$

2008-06-08

arxiv.org/abs/0806.1345v2

Mathematics

Representation Theory

5 pages

Scientific paper

We introduce the Plancherel measure on the set of partition collections, which parameterize irreducible representations of order n general linear group over a finite field. We prove that as n goes to infinity, the random partitions from the random collections converge in finite dimencional distribution to independent random variables. We give explicit formulas for the corresponding limit distributions.

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