Character formula for wreath products of compact groups with the infinite symmetric group

Tom 73 / 2006

Takeshi Hirai, Etsuko Hirai Banach Center Publications 73 (2006), 207-221 MSC: Primary 22A25; Secondary 20C32, 22D25, 46L10. DOI: 10.4064/bc73-0-15

Streszczenie

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 characters explicitly.

Autorzy

  • Takeshi Hirai22-8 Nakazaichi-Cho, Iwakura
    Sakyo-Ku, Kyoto 606-0027, Japan
    e-mail
  • Etsuko HiraiDepartment of Mathematics
    Faculty of Sciences
    Kyoto Sangyo University
    Kita-Ku, Kyoto 603-8555, Japan
    e-mail

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