We determine the Zariski closure of the representations of the braid groups that factor through the Birman–Wenzl–Murakami algebra, for generic values of the parameters . For of modulus 1 and close to 1, we prove that these representations are unitarizable, thus deducing the topological closure of the image when in addition are algebraically independent.
"Braids inside the Birman–Wenzl–Murakami algebra." Algebr. Geom. Topol. 10 (4) 1865 - 1886, 2010. https://doi.org/10.2140/agt.2010.10.1865