دورية أكاديمية
Necessary and sufficient conditions for the irreducibility of a linear representation of the braid group $$B_n$$ B n
| العنوان: | Necessary and sufficient conditions for the irreducibility of a linear representation of the braid group $$B_n$$ B n |
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| المؤلفون: | Mohamad N. Nasser |
| المصدر: | Arabian Journal of Mathematics, Vol 13, Iss 2, Pp 333-339 (2024) |
| بيانات النشر: | SpringerOpen, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Applied mathematics. Quantitative methods LCC:Mathematics |
| مصطلحات موضوعية: | 20F36, Applied mathematics. Quantitative methods, T57-57.97, Mathematics, QA1-939 |
| الوصف: | Abstract Valerij G. Bardakov and P. Bellingeri introduced a new linear representation $$\bar{\rho }_F$$ ρ ¯ F of degree $$n+1$$ n + 1 of the braid group $$B_n$$ B n . We study the irreducibility of this representation. We prove that $$\bar{\rho }_F$$ ρ ¯ F is reducible to the degree $$n-1$$ n - 1 . Moreover, we give necessary and sufficient conditions for the irreducibility of the complex specialization of its $$n-1$$ n - 1 degree composition factor $$\bar{\phi }_F$$ ϕ ¯ F . |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2193-5343 2193-5351 |
| Relation: | https://doaj.org/toc/2193-5343; https://doaj.org/toc/2193-5351 |
| DOI: | 10.1007/s40065-024-00468-x |
| URL الوصول: | https://doaj.org/article/1524bfddf46f4553a1e1eaaa7063bcd8 |
| رقم الأكسشن: | edsdoj.1524bfddf46f4553a1e1eaaa7063bcd8 |
| قاعدة البيانات: | Directory of Open Access Journals |
Find this article in full text from Springer Verlag. 
Full Text Finder | تدمد: | 21935343 21935351 |
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| DOI: | 10.1007/s40065-024-00468-x |