期刊
ADVANCES IN APPLIED CLIFFORD ALGEBRAS
卷 22, 期 3, 页码 757-769出版社
SPRINGER BASEL AG
DOI: 10.1007/s00006-012-0360-6
关键词
Clifford algebra; crystal lattice; Ising lattice; Jordan algebra; octonions; quaternions; sedenions
资金
- University of Lodz [505/692]
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.
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