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arXiv · 1605.07010

Hypergroups Related to a Pair of Compact Hypergroups

Herbert Heyer·Satoshi Kawakami·Tatsuya Tsurii·Satoe Yamanaka
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Abstract

The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup $H$ and a closed subhypergroup $H_0$ of $H$ with $|H/H_0|< +\infty$. The convolution of this hypergroup is introduced by inducing irreducible characters of $H_0$ to $H$ and by restricting irreducible characters of $H$ to $H_0$. The method of proof relies on the notion of an induced character and an admissible hypergroup pair.

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Herbert Heyer, Satoshi Kawakami, Tatsuya Tsurii, Satoe Yamanaka. 2016-11-18. Hypergroups Related to a Pair of Compact Hypergroups. https://doi.org/10.3842/sigma.2016.111

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