Braids inside the Birman-Wenzl-Murakami algebra
Abstract
We determine the Zariski closure of the representations of the braid groups that factorize through the Birman-Wenzl-Murakami algebra, for generic values of the parameters α,s. For α,s 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 α,s are algebraically independent.
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