Gelfand pair associated with a hoph algebra and a coideal
We consider a pair of a compact quantum group and a coideal in its dual Hopf *-algebra and introduce the notions of Gelfand pair and strict Gelfand pair. For a strict Gelfand pair, we construct two hyper-complex systems dual to each other. As an example, we consider the quantum analog of the pair (U...
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| Дата: | 1994 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1994
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/5658 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511887382282240 |
|---|---|
| author | Chapovsky, Yu. Чаповський, Ю. А. |
| author_facet | Chapovsky, Yu. Чаповський, Ю. А. |
| author_sort | Chapovsky, Yu. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:15:19Z |
| description | We consider a pair of a compact quantum group and a coideal in its dual Hopf *-algebra and introduce the notions of Gelfand pair and strict Gelfand pair. For a strict Gelfand pair, we construct two hyper-complex systems dual to each other. As an example, we consider the quantum analog of the pair (U(n), SO(n)). |
| first_indexed | 2026-03-24T03:20:02Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5658 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:20:02Z |
| publishDate | 1994 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a1/0f31ee2e71355ac1c207b77cd293bfa1.pdf |
| spelling | umjimathkievua-article-56582020-03-19T09:15:19Z Gelfand pair associated with a hoph algebra and a coideal Пара Гельфанда, яка пов’язана з алгеброю Хопфа та коідеалом Chapovsky, Yu. Чаповський, Ю. А. We consider a pair of a compact quantum group and a coideal in its dual Hopf *-algebra and introduce the notions of Gelfand pair and strict Gelfand pair. For a strict Gelfand pair, we construct two hyper-complex systems dual to each other. As an example, we consider the quantum analog of the pair (U(n), SO(n)). Розглянуто пару компактної квантової групи та коідеалу у її дуальній "-алгебрі Хопфа. Вводиться поняття пари Гельфанда та строгої пари Гельфанда. Для строгої пари Гельфанда будується пара гіперкомплексних систем, які є дуальними одна до одної. Як приклад розглянуто квантовий аналог пари (U(n), SO(n)). Institute of Mathematics, NAS of Ukraine 1994-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5658 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 8 (1994); 1055–1066 Український математичний журнал; Том 46 № 8 (1994); 1055–1066 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/5658/8001 https://umj.imath.kiev.ua/index.php/umj/article/view/5658/8002 Copyright (c) 1994 Chapovsky Yu. |
| spellingShingle | Chapovsky, Yu. Чаповський, Ю. А. Gelfand pair associated with a hoph algebra and a coideal |
| title | Gelfand pair associated with a hoph algebra and a coideal |
| title_alt | Пара Гельфанда, яка пов’язана
з алгеброю Хопфа та коідеалом |
| title_full | Gelfand pair associated with a hoph algebra and a coideal |
| title_fullStr | Gelfand pair associated with a hoph algebra and a coideal |
| title_full_unstemmed | Gelfand pair associated with a hoph algebra and a coideal |
| title_short | Gelfand pair associated with a hoph algebra and a coideal |
| title_sort | gelfand pair associated with a hoph algebra and a coideal |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5658 |
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