Realizations of factor representations of finite type with emphasis on their characters for wreath products of compact groups with the infinite symmetric group.

DOI10.1215/KJM/1250281798zbMath1161.20009OpenAlexW1576167521MaRDI QIDQ862140

Etsuko Hirai, Takeshi Hirai, Akihito Hora

Publication date: 5 February 2007

Published in: Journal of Mathematics of Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/kjm/1250281798

zbMATH Keywords

wreath productscompact groupsinfinite symmetric groupcharacters of factor representationspositive definite class functions

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Harmonic analysis and spherical functions (43A90) Positive definite functions on groups, semigroups, etc. (43A35) Representations of infinite symmetric groups (20C32) Other representations of locally compact groups (22D12)

Related Items (2)

Projective representations and spin characters of complex reflection groups \(G(m,p,n)\) and \(G(m,p,\infty)\), III. ⋮ 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

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