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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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2016 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148533 |
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| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148533 |
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dspace |
| spelling |
irk-123456789-1485332019-02-19T01:24:13Z Hypergroups Related to a Pair of Compact Hypergroups Heyer, H. Kawakami, S. Tsurii, T. Yamanaka, S. 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. 2016 Article 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. 1815-0659 2010 Mathematics Subject Classification: 22D30; 22F50; 20N20; 43A62 DOI:10.3842/SIGMA.2016.111 http://dspace.nbuv.gov.ua/handle/123456789/148533 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Heyer, H. Kawakami, S. Tsurii, T. Yamanaka, S. |
| spellingShingle |
Heyer, H. Kawakami, S. Tsurii, T. Yamanaka, S. Hypergroups Related to a Pair of Compact Hypergroups Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Heyer, H. Kawakami, S. Tsurii, T. Yamanaka, S. |
| author_sort |
Heyer, H. |
| title |
Hypergroups Related to a Pair of Compact Hypergroups |
| title_short |
Hypergroups Related to a Pair of Compact Hypergroups |
| title_full |
Hypergroups Related to a Pair of Compact Hypergroups |
| title_fullStr |
Hypergroups Related to a Pair of Compact Hypergroups |
| title_full_unstemmed |
Hypergroups Related to a Pair of Compact Hypergroups |
| title_sort |
hypergroups related to a pair of compact hypergroups |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148533 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT heyerh hypergroupsrelatedtoapairofcompacthypergroups AT kawakamis hypergroupsrelatedtoapairofcompacthypergroups AT tsuriit hypergroupsrelatedtoapairofcompacthypergroups AT yamanakas hypergroupsrelatedtoapairofcompacthypergroups |
| first_indexed |
2023-05-20T17:29:42Z |
| last_indexed |
2023-05-20T17:29:42Z |
| _version_ |
1796153419602329600 |