The classification of Wada-type representations of braid groups
classification
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representationswada-typebraidclassificationgroupsadaptedcertainconjecture
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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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