Representations of braid groups via conjugation actions on congruence subgroups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69789We 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 $B_n$.15 pagesAlgebraic TopologyGroup TheoryRepresentation Theory20F36; 57M07Representations of braid groups via conjugation actions on congruence subgroupstext