Geodesic
Braids inside the Birman–Wenzl–Murakami algebra
Marin, Ivan1
1Institut de Mathématiques de Jussieu, Université Paris 7, 175 rue du Chevaleret, 75013 Paris, France
Algebraic and Geometric Topology, Tome 10 (2010) no. 4, pp. 1865-1886
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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 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.

DOI : 10.2140/agt.2010.10.1865
Keywords: braid group, representations, Zariski closure, unitarisability, Birman–Wenzl–Murakami algebra

Marin, Ivan  1

1 Institut de Mathématiques de Jussieu, Université Paris 7, 175 rue du Chevaleret, 75013 Paris, France 
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Marin, Ivan. Braids inside the Birman–Wenzl–Murakami algebra. Algebraic and Geometric Topology, Tome 10 (2010) no. 4, pp. 1865-1886. doi: 10.2140/agt.2010.10.1865

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