2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162590We 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.5 pagesRepresentation Theory20G05text