Dimension $n$ Representations of the Braid Group on $n$ Strings
| dc.creator | Sysoeva, Inna | |
| dc.date | 2000-03-22 | |
| dc.date.accessioned | 2026-07-07T04:34:23Z | |
| dc.date.available | 2026-07-07T04:34:23Z | |
| dc.description | In 1996 E. Formanek classified all the irreducible complex representations of $B_n$ of dimension at most $n-1,$ where $B_n$ is the Artin braid group on $n$ strings. In this paper we extend this classification to the representations of dimension $n,$ for $n\geq 9$. We prove that all such representations are equivalent to a tensor product of a one-dimensional representation and a specialization of a certain one-parameter family of $n-$dimensional representations, that was first discovered in 1996 by Tong, Yang, and Ma. We use our classification of irreducible complex representations of corank two, in the preprint math.GR/0003047. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0003129 | |
| dc.identifier | http://arxiv.org/abs/math/0003129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58881 | |
| dc.subject | Group Theory | |
| dc.subject | 20C | |
| dc.title | Dimension $n$ Representations of the Braid Group on $n$ Strings | |
| dc.type | text |