2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120649We suggest an hierarchy of all the results known so far about the connection of the asymptotics of combinatorial or representation theoretic problems with ``beta=2 ensembles'' arising in the random matrix theory. We show that all such results are, essentially, degenerations of one general situation arising from so-called generalized regular representations of the infinite symmetric group.AMSTeX, 19 pagesCombinatoricsProbabilityRepresentation TheoryExactly Solvable and Integrable Systemstext