Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
Triple products and Yang–Baxter equation. I. Octonionic and quaternionic triple systems
The Yang–Baxter equation can be recast as a triple product equation. Assuming the triple product to satisfy some algebraic relations, new solutions of the Yang–Baxter equation can be found. This program has been completed here for the simplest triple systems which are called octonionic and quaternionic. The solutions are of …