Triple Products and Yang-Baxter Equation (I): Octonionic and Quaternionic Triple Systems

Details Triple Products and Yang-Baxter Equation (I): Octonionic and Quaternionic Triple Systems Triple Products and Yang-Baxter Equation (I): Octonionic and Quaternionic Triple Systems

1992-12-08

arxiv.org/abs/hep-th/9212051v1

J.Math.Phys. 34 (1993) 3273-3291

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1063/1.530076

We can recast the Yang-Baxter equation as a triple product equation. Assuming
the triple product to satisfy some algebraic relations, we can find new
solutions of the Yang-Baxter equation. This program has been completed here for
the simplest triple systems which we call octonionic and quaternionic. The
solutions are of rational type.

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