Set theoretic solutions of the Yang-Baxter equation, graphs and computations

Details Set theoretic solutions of the Yang-Baxter equation, graphs and computations Set theoretic solutions of the Yang-Baxter equation, graphs and computations

2007-05-14

arxiv.org/abs/0705.1894v1

Mathematics

Quantum Algebra

33 pages, 6 .eps figures

Scientific paper

We extend our recent work on set-theoretic solutions of the Yang-Baxter or braid relations with new results about their automorphism groups, strong twisted unions of solutions and multipermutation solutions. We introduce and study graphs of solutions and use our graphical methods for the computation of solutions of finite order and their automorphisms. Results include a detailed study of solutions of multipermutation level 2.

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