Algebraic structure of non-associative spinor field

Analysis of octonion algebra, algebraic structure of non-associative spinors is carried out. In associative basis the spinor field theory identical to Dirac theory is built. The spinor co-variation transformation is introduced and it is shown that it coincides with Poincare group of four-dimensional space. The field equation is derived over spinor invariance transformation. The limits set by field equation on the eigenvalues of transformation generators are considered