Triple Products and Yang–baxter Equation (i): Octonionic and Quaternionic Triple Systems
نویسنده
چکیده
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. PAC: 03.65Fd. 02.90.+p
منابع مشابه
ar X iv : h ep - t h / 92 12 05 2 v 1 8 D ec 1 99 2 TRIPLE PRODUCTS AND YANG – BAXTER EQUATION ( II ) : ORTHOGONAL AND SYMPLECTIC TERNARY SYSTEMS
We generalize the result of the preceeding paper and solve the Yang–Baxter equation in terms of triple systems called orthogonal and symplectic ternary systems. In this way, we found several other new solutions. PAC: 03.65Fd. 02.90.+p
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