Irreducible Representations of Braid Groups of corank two

Details Irreducible Representations of Braid Groups of corank two Irreducible Representations of Braid Groups of corank two

2000-03-07

arxiv.org/abs/math/0003047v1

Mathematics

Group Theory

15 pages, 6 figures

Scientific paper

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.

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