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

Eugene Strahov

doi:10.1016/j.jalgebra.2009.07.012

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

Eugene Strahov^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Pages (from-to)	349-370
Number of pages	22
Journal	Journal of Algebra
Volume	323
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2009.07.012
State	Published - 15 Jan 2010

Bibliographical note

Funding Information:
E-mail address: [email protected]. 1 Supported by US-Israel Binational Science Foundation (BSF) Grant No. 2006333, and by Israel Science Foundation (ISF) Grant No. 0397937.

Keywords

Gelfand pairs
Infinite symmetric group
Random partitions
Symmetric functions

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10.1016/j.jalgebra.2009.07.012

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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 = "Gelfand pairs, Infinite symmetric group, Random partitions, Symmetric functions",

author = "Eugene Strahov",

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KW - Gelfand pairs

KW - Infinite symmetric group

KW - Random partitions

KW - Symmetric functions

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

Abstract

Bibliographical note

Keywords

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