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

Abstract

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.

29 pages

References in corpus (1)

• Triple Products and Yang-Baxter Equation (II): Orthogonal and Symplectic Ternary Systems

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