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

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Strahov, Eugene
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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
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Mathematics - Representation Theory, Mathematical Physics
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