Irreducible Representations of Braid Groups of corank two

This paper is the first part of a series of papers aimed at improving the classification by Formanek of the irreducible representations of Artin braid groups of small dimension. In this paper we classify all the irreducible complex representations \(\rho\) of Artin braid group \(B_n\) with the condi...

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Bibliographic Details
Published in:arXiv.org 2000-03
Main Author: Sysoeva, Inna
Format: Article
Language:English
Subjects:
Braid theory
Representations
Online Access:Get full text
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Summary:This paper is the first part of a series of papers aimed at improving the classification by Formanek of the irreducible representations of Artin braid groups of small dimension. In this paper we classify all the irreducible complex representations \(\rho\) of Artin braid group \(B_n\) with the condition \(rank (\rho (\sigma_i)-1)=2\) where \(\sigma_i\) are the standard generators. For \(n \geq 7\) they all belong to some one-parameter family of \(n\)-dimensional representations.
ISSN:2331-8422