Linearity of Artin groups of finite type

2000/10/20 by Arjeh M. Cohen, Cohen, Arjeh M., David B. Wales +1 · 4 citations
Mathematics · #20Fxx #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #math.AT #math.GR #msc:20Fxx

paper · pdf · doi:10.48550/arxiv.math/0010204

17 pages, LaTeX

arxiv created 2000/10/24 · arxiv updated 2009/11/30

Abstract

Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear representation to Artin groups of finite type.

Cited by

• Linearity and virtual poly-freeness of the fundamental group of plane curves of degree at most five
• Congruence subgroups of small Artin and Coxeter groups
• Canonical Reduction Systems in Artin-Tits groups of spherical type
• Acylindrical Visual Splittings and The Tits Alternative For Artin Groups

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• Faithful Linear Representations of the Braid Groups
• On the Linearized Artin Braid Representation
• Braid Groups are Linear
• Braid groups are linear
• A note on certain finite-dimensional representations of the braid group