Braids inside the Birman-Wenzl-Murakami algebra

Details Braids inside the Birman-Wenzl-Murakami algebra Braids inside the Birman-Wenzl-Murakami algebra

2009-11-11

arxiv.org/abs/0911.2188v1

Mathematics

Group Theory

Scientific paper

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 $\alpha,s$. For $\alpha,s$ 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 $\alpha,s$ are algebraically independent.

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