Representations of braid groups via conjugation actions on congruence subgroups

Details Representations of braid groups via conjugation actions on congruence subgroups Representations of braid groups via conjugation actions on congruence subgroups

2004-01-06

arxiv.org/abs/math/0401052v2

Mathematics

Algebraic Topology

15 pages

Scientific paper

We construct two families of representations of the braid group $B_n$ by
considering conjugation actions on congruence subgroups of $GL_{n-1}(Z[t^{\pm
1},q^{\pm 1}])$. We show that many of these representations are faithful modulo
the center of $B_n$.

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