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REPRESENTATIONS OF BRAID GROUPS VIA CONJUGATION ACTIONS ON CONGRUENCE SUBGROUPS
Keywords:
braid group, Burau representation.DOI:
https://doi.org/10.17654/0972555523017Abstract
We construct two families of representations of the braid group $B_n$ by considering conjugation actions on congruence subgroups of $GL_{n-1}(\mathbb{Z}[t^\pm, q^\pm])$ We study the faithfulness of these maps, and reprove a result of Moran [8].
Received: June 17, 2023
Accepted: July 13, 2023
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