Hypergroups Related to a Pair of Compact Hypergroups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• Main Authors: Heyer, H., Kawakami, S., Tsurii, T., Yamanaka, S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148533
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Hypergroups Related to a Pair of Compact Hypergroups / H. Heyer, S. Kawakami, T. Tsurii, S. Yamanaka // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 18 назв. — англ.

The purpose of the present paper is to investigate a hypergroup associated with irreducible characters of a compact hypergroup H and a closed subhypergroup H₀ of H with |H/H₀|<+∞. The convolution of this hypergroup is introduced by inducing irreducible characters of H₀ to H and by restricting irr...