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- W1557187188 abstract "Abstract In the first half of this paper, all the limits of irreducible characters of G n = 𝔖 n (T) as n → ∞ are calculated. The set of all continuous limit functions on G = 𝔖 ∞ ( T ) is exactly equal to the set of all characters of G determined in [HH6]. We give a necessary and sufficient condition for a series of irreducible characters of G n to have a continuous limit and also such a condition to have a discontinuous limit. In the second half, we study the limits of characters of certain induced representations of G n which are usually reducible. The limits turn out to be characters of G , and we analyse which of irreducible components are responsible to these limits." @default.
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- W1557187188 date "2009-01-01" @default.
- W1557187188 modified "2023-09-28" @default.
- W1557187188 title "Limits of Characters of Wreath Products 𝔖n(T) of a Compact Group T With the Symmetric Groups and Characters of 𝔖∞(T), I" @default.
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- W1557187188 doi "https://doi.org/10.1017/s0027763000026039" @default.
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