Characters of induced representations of a compact hypergroup (Q258076)
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scientific article; zbMATH DE number 6557692
| Language | Label | Description | Also known as |
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| English | Characters of induced representations of a compact hypergroup |
scientific article; zbMATH DE number 6557692 |
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Characters of induced representations of a compact hypergroup (English)
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17 March 2016
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The authors establish an analogue of the character formula of \textit{T. Hirai} [Probab. Math. Stat. 33, No. 2, 353--362 (2013; Zbl 1284.20007)] for closed subgroups of compact hypergroups. The notion of induced representation of a compact hypergroup is introduced. Characters and induced characters of finite-dimensional representations of a compact commutative hypergroup of strong type are studied. The case of compact semi-direct product hypergroup is also considered.
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induced representation
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character of representation
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hypergroup
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