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Article . 2002
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https://dx.doi.org/10.48550/ar...
Article . 2000
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Linearity of artin groups of finite type

Linearity of Artin groups of finite type.
Authors: Cohen, Arjeh M.; Wales, David B.;

Linearity of artin groups of finite type

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.

17 pages, LaTeX

Countries
Netherlands, United States
Keywords

Ordinary representations and characters, Group Theory (math.GR), Braid groups; Artin groups, Dynkin Diagram, faithful linear representations, 510, 004, Braid Group, Lawrence-Krammer representation, Positive Root, Induction Hypothesis, FOS: Mathematics, Algebraic Topology (math.AT), Finite Type, braid groups, Mathematics - Algebraic Topology, 20Fxx, Mathematics - Group Theory

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
46
Top 10%
Top 10%
Top 10%
Green
bronze