Z-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$
Representation Theory
2009-04-13 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0904.1719,
title = {Z-measures on partitions related to the infinite Gelfand pair $(S(2\infty),H(\infty))$},
author = {Eugene Strahov},
journal= {arXiv preprint arXiv:0904.1719},
year = {2009}
}
Comments
23 pages