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

Strahov, Eugene
##### Description
The 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.
Comment: 23 pages
##### Keywords
Mathematics - Representation Theory, Mathematical Physics