We continue to modify and simplify the Ising-Onsager-Zhang procedure for analyzing simple orthorhombic Ising lattices by considering some fractal structures in connection with Jordan and Clifford algebras and by following Jordan-von Neumann-Wigner (JNW) approach. We concentrate on duality of complete and perfect JNW-systems, in particular ternary systems, analyze algebras of complete JNW-systems, and prove that in the case of a composition algebra we have a self-dual perfect JNW-system related to quaternion or octonion algebras. In this context, we are interested in the product table of the sedenion algebra. © 2012 The Author(s).
CITATION STYLE
Ławrynowicz, J., Suzuki, O., & Niemczynowicz, A. (2012). On the Ternary Approach to Clifford Structures and Ising Lattices. Advances in Applied Clifford Algebras, 22(3), 757–769. https://doi.org/10.1007/s00006-012-0360-6
Mendeley helps you to discover research relevant for your work.