The classification of Wada-type representations of braid groups
Quantum Algebra
2015-01-30 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.1105.2633,
title = {The classification of Wada-type representations of braid groups},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1105.2633},
year = {2015}
}
Comments
13 pages, 2 figures: Added Lemma 2.2, which was implicit in the previous version without proof and more explanations