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Representations of braid groups via conjugation actions on congruence subgroups

Kevin P. Knudson
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Abstract

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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Kevin P. Knudson. 2004-01-14. Representations of braid groups via conjugation actions on congruence subgroups. https://arxiv.org/abs/math/0401052

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