Hypergroups Related to a Pair of Compact Hypergroups

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...

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Збережено в:
Бібліографічні деталі
Дата:2016
Автори: Heyer, H., Kawakami, S., Tsurii, T., Yamanaka, S.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2016
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/148533
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Резюме: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 irreducible characters of H to H₀. The method of proof relies on the notion of an induced character and an admissible hypergroup pair.