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arXiv · 1105.2633

The classification of Wada-type representations of braid groups

Tetsuya Ito
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Abstract

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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BibTeXRIS

Tetsuya Ito. 2011-05-13. The classification of Wada-type representations of braid groups. https://doi.org/10.1016/j.jpaa.2012.12.010

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