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

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

2009-04-10

arxiv.org/abs/0904.1719v1

Mathematics

Representation Theory

23 pages

Scientific paper

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.

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