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B_3 block representations of dimension 6 and braid reversions


Abstract


We construct a family of six dimensional block representations of the braid group B_3 on three strings. We show that these representations can be used to distinguish braids of knots with 9 and 10 crossings from their reversed braids.

DOI Code: 10.1285/i15900932v42n2p53

Keywords: Braid groups; knots; invertible

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