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

2009/04/10 by Eugene Strahov, Strahov, Eugene · 3 citations
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Random Matrices and Applications #Spectral Theory in Mathematical Physics #math-ph #math.MP #math.RT

paper · pdf · doi:10.48550/arxiv.0904.1719

23 pages

arxiv created 2009/04/10 · arxiv updated 2009/12/01

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.

Cited by

• sl(2) Operators and Markov Processes on Branching Graphs
• Pfaffian Stochastic Dynamics of Strict Partitions
• Representation theory of the infinite symmetric group and Pfaffian point processes

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