The classification of Wada-type representations of braid groups

Details The classification of Wada-type representations of braid groups The classification of Wada-type representations of braid groups

2011-05-13

arxiv.org/abs/1105.2633v2

Mathematics

Quantum Algebra

13 pages, 2 figures: Added Lemma 2.2, which was implicit in the previous version without proof and more explanations

Scientific paper

We give a classification of Wada-type representations of the braid groups,
and solutions of a variant of the set-theoretical Yang-Baxter equation adapted
to the free-product group structure. As a consequence, we prove Wada's
conjecture: There are only seven types of Wada-type representations up to
certain symmetries.

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