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arXiv · 0911.2188

Braids inside the Birman-Wenzl-Murakami algebra

Ivan Marin
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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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Ivan Marin. 2009-11-11. Braids inside the Birman-Wenzl-Murakami algebra. https://arxiv.org/abs/0911.2188

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