Symmetries of a nonassociative octonion field

Autor: Kurdgelaidze, D. F., Begeluri, G. A.
Zdroj: Russian Physics Journal; November 1991, Vol. 34 Issue: 11 p1034-1038, 5p
Abstrakt: Nonassociativity is studied in the presence of a symmetry group. The parameters of the Lorentz group as the group of motions of the 4-dimensional space-time are shown to remain associative, Nonassociativity appears on the level of representations of the Lorentz group. Infinitesimally, irreducible representations of the Lorentz group can be used in describing nonassociative spinors. Two types of solutions of the octonion spinor equation are studied. It is shown that these solutions can be transformed into one another only if the associator is broken according to ¦?A¦=1. In addition, a new mechanism for generating electromagnetic moments of particles is discussed.
Databáze: Supplemental Index