RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



SIGMA:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


SIGMA, 2016, Volume 12, 111, 17 pages (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

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.

DOI: https://doi.org/10.3842/SIGMA.2016.111

Full text: PDF file (408 kB)
Full text: http://www.emis.de/journals/SIGMA/2016/111/
References: PDF file   HTML file

Bibliographic databases:

ArXiv: 1605.07010
Document Type: Article
MSC: 22D30; 22F50; 20N20; 43A62
Received: June 2, 2016; in final form November 10, 2016; Published online November 18, 2016
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
\Bibitem{HeyKawTsu16}
\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
\mathnet{http://mi.mathnet.ru/sigma1193}
\crossref{https://doi.org/10.3842/SIGMA.2016.111}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000388503100001}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84996503608}


Linking options:
  • http://mi.mathnet.ru/eng/sigma1193
  • http://mi.mathnet.ru/eng/sigma/v12/p111

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. H. Heyer, S. Kawakami, T. Tsurii, S. Yamanaka, “Commutative hypergroups associated with a hyperfield”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 20:3 (2017), 1750018  crossref  mathscinet  zmath  isi
  • Symmetry, Integrability and Geometry: Methods and Applications
    Number of views:
    This page:178
    Full text:10
    References:10

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019