Takeshi Hirai, Etsuko Hirai
Abstract
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Let $G = {\mathfrak S}_\infty(T)$ be the wreath product of a compact group $T$ with the infinite symmetric group ${\mathfrak S}_\infty$. We study the characters of factor representations of finite type of $G$, and give a formula which expresses all the c
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Let $G = {\mathfrak S}_\infty(T)$ be the wreath product of a compact group $T$ with the infinite symmetric group ${\mathfrak S}_\infty$. We study the characters of factor representations of finite type of $G$, and give a formula which expresses all the c
Key concepts: Wreath product, Symmetric group, Mathematics, Character (mathematics), Group (periodic table), Product (mathematics), Combinatorics, Type (biology)