Multi-switches and representations of braid groups Научная публикация
| Журнал |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Вых. Данные | Год: 2024, Том: 23, Номер: 3, Номер статьи : 2430003, Страниц : 22 DOI: 10.1142/s0219498824300034 | ||||||||
| Ключевые слова | Braid group; linear representation; quandle; representation by automorphisms; virtual braid group | ||||||||
| Авторы |
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| Организации |
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Информация о финансировании (1)
| 1 | Российский научный фонд | 19-41-02005 |
Реферат:
We introduce the notion of a (virtual) multi-switch which generalizes the notion of a (virtual) switch. Using (virtual) multi-switches we introduce a general approach of how to construct representations of (virtual) braid groups by automorphisms of algebraic systems. As a corollary we introduce new representations of virtual braid groups which generalize several previously known representations.
Библиографическая ссылка:
Bardakov V.
, Nasybullov T.
Multi-switches and representations of braid groups
Journal of Algebra and its Applications. 2024. V.23. N3. 2430003 :1-22. DOI: 10.1142/s0219498824300034 WOS Scopus РИНЦ OpenAlex
Multi-switches and representations of braid groups
Journal of Algebra and its Applications. 2024. V.23. N3. 2430003 :1-22. DOI: 10.1142/s0219498824300034 WOS Scopus РИНЦ OpenAlex
Даты:
| Поступила в редакцию: | 6 мар. 2022 г. |
| Принята к публикации: | 11 окт. 2022 г. |
| Опубликована online: | 15 нояб. 2022 г. |
| Опубликована в печати: | 23 февр. 2024 г. |
Идентификаторы БД:
| Web of science: | WOS:000884306900002 |
| Scopus: | 2-s2.0-85143864656 |
| РИНЦ: | 57680063 |
| OpenAlex: | W2963217283 |