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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 111, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.111 (Mi sigma1193) 		 
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
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DOI: https://doi.org/10.3842/SIGMA.2016.111
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
Bibliographic databases:
Document Type: Article
MSC: 22D30; 22F50; 20N20; 43A62
Language: English
Citation: Herbert Heyer, Satoshi Kawakami, Tatsuya Tsurii, Satoe Yamanaka, “Hypergroups Related to a Pair of Compact Hypergroups”, SIGMA, 12 (2016), 111, 17 pp.
Citation in format AMSBIB
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\by Herbert~Heyer, Satoshi~Kawakami, Tatsuya~Tsurii, Satoe~Yamanaka
\paper Hypergroups Related to a Pair of Compact Hypergroups
\jour SIGMA
\yr 2016
\vol 12
\papernumber 111
\totalpages 17
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\crossref{https://doi.org/10.3842/SIGMA.2016.111}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996503608}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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