Linearity of artin groups of finite type

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.

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Bibliographic Details
Published in:Israel journal of mathematics 2002-01, Vol.131 (1), p.101-123
Main Authors: Cohen, Arjeh M., Wales, David B.
Format: Article
Language:English
Subjects:
Braid theory
Linearity
Mathematics
Representations
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Description
Summary: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.
ISSN:0021-2172
1565-8511
DOI:10.1007/BF02785852