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This article is cited in 1 scientific paper (total in 1 paper)
Hypergroups Related to a Pair of Compact Hypergroups
Herbert Heyera, Satoshi Kawakamib, Tatsuya Tsuriic, Satoe Yamanakad a Universität Tübingen, Mathematisches Institut,
Auf der Morgenstelle 10, 72076, Tübingen, Germany
b Nara University of Education, Department of Mathematics,
Takabatake-cho Nara, 630-8528, Japan
c Osaka Prefecture University, 1-1 Gakuen-cho, Nakaku, Sakai Osaka, 599-8531, Japan
d Nara Women’s University, Faculty of Science, Kitauoya-higashimachi, Nara, 630-8506, Japan
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.
Keywords:
hypergroup; induced character; semi-direct product hypergroup; admissible hypergroup pair.
Received: June 2, 2016; in final form November 10, 2016; Published online November 18, 2016
Citation:
Herbert Heyer, Satoshi Kawakami, Tatsuya Tsurii, Satoe Yamanaka, “Hypergroups Related to a Pair of Compact Hypergroups”, SIGMA, 12 (2016), 111, 17 pp.
Linking options:
https://www.mathnet.ru/eng/sigma1193 https://www.mathnet.ru/eng/sigma/v12/p111
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