Z-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226462The paper deals with the z-measures on partitions with the deformation (Jack) parameters 2 or 1/2. We provide a detailed explanation of the representation-theoretic origin of these measures, and of their role in the harmonic analysis on the infinite symmetric group.23 pagesRepresentation TheoryMathematical PhysicsZ-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$text