Multi-switches and representations of braid groups Full article
| Journal |
Journal of Algebra and its Applications
ISSN: 0219-4988 |
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| Output data | Year: 2024, Volume: 23, Number: 3, Article number : 2430003, Pages count : 22 DOI: 10.1142/s0219498824300034 | ||||||||
| Tags | Braid group; linear representation; quandle; representation by automorphisms; virtual braid group | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 19-41-02005 |
Abstract:
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.
Cite:
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
Dates:
| Submitted: | Mar 6, 2022 |
| Accepted: | Oct 11, 2022 |
| Published online: | Nov 15, 2022 |
| Published print: | Feb 23, 2024 |
Identifiers:
| Web of science: | WOS:000884306900002 |
| Scopus: | 2-s2.0-85143864656 |
| Elibrary: | 57680063 |
| OpenAlex: | W2963217283 |