2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76253The Lawrence representation $L_{n,m}$ is a family of homological representation of the braid group $B_n$, which specializes to the reduced Burau and the Lawrence-Krammer representation when $m$ is 1 and 2. In this article we show that the Lawrence representation is faithful for $m \geq 2$.9 pages, 6 figuresGeometric Topology20F36; 57M07, 20C15text