The Burau representation is not faithful for $n=5$.

Bigelow, Stephen. "The Burau representation is not faithful for .." Geometry & Topology 3 (1999): 397-404. <http://eudml.org/doc/120449>.

@article{Bigelow1999,
author = {Bigelow, Stephen},
journal = {Geometry & Topology},
keywords = {braid groups; Burau representation; faithful representations},
language = {eng},
pages = {397-404},
publisher = {University of Warwick, Mathematics Institute, Coventry; Mathematical Sciences Publishers, Berkeley},
title = {The Burau representation is not faithful for .},
url = {http://eudml.org/doc/120449},
volume = {3},
year = {1999},
}

TY - JOUR
AU - Bigelow, Stephen
TI - The Burau representation is not faithful for .
JO - Geometry & Topology
PY - 1999
PB - University of Warwick, Mathematics Institute, Coventry; Mathematical Sciences Publishers, Berkeley
VL - 3
SP - 397
EP - 404
LA - eng
KW - braid groups; Burau representation; faithful representations
UR - http://eudml.org/doc/120449
ER -