Irreducible Representations of Braid Groups of corank two

2000/03/07 by Inna Sysoeva, Sysoeva, Inna
Mathematics · #20C #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20C

paper · pdf · doi:10.48550/arxiv.math/0003047

15 pages, 6 figures

arxiv created 2000/03/07 · arxiv updated 2009/11/30

Abstract

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 ρ of Artin braid group B_n with the condition rank (ρ(σ_i)-1)=2 where σ_i are the standard generators. For n ≥ 7 they all belong to some one-parameter family of n-dimensional representations.

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