Spinors in Three-Dimensional Euclidean Spaces

Abstract

For the three-dimensional complex Euclidean vector space \(E_3^+ \) the dimension of the corresponding spinor space is equal to 2, while the components of invariant spin-tensors \(\overset {\,\circ }\gamma _{\alpha } = \|\overset {\,\circ }{\gamma }{ }^B_{\alpha A}\| \) (α = 1, 2, 3; A, B = 1, 2) are represented by two-dimensional matrices.