Limits of characters of wreath products \(\mathfrak S_n(T) \) of a compact group \(T\) with the symmetric groups and characters of \(\mathfrak S_\infty(T)\). II: From a viewpoint of probability theory

DOI10.2969/jmsj/06041187zbMath1187.22001OpenAlexW2091348339MaRDI QIDQ998939

Etsuko Hirai, Akihito Hora, Takeshi Hirai

Publication date: 30 January 2009

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06041187

zbMATH Keywords

wreath productsprobabilistic methodscompact groupsinfinite symmetric groupcharacters of factor representationspositive definite class functionslimits of irreducible characters

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Compact groups (22C05) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Representations of infinite symmetric groups (20C32) Other representations of locally compact groups (22D12) Probabilistic methods in group theory (20P05)

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Cites Work

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• Harmonic functions on multiplicative graphs and interpolation polynomials
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• GAUSSIAN FLUCTUATIONS OF REPRESENTATIONS OF WREATH PRODUCTS