Abstract
The generalization of the vector parametrization of Lorentz group transformations to the case of the complex Lorentz group SU(3.1) saving the invariant real bilinear form is realized. The composition law and the subgroup structure of the group SU(3.1) are defined.
Highlights
The generalization of the vector parametrization of Lorentz group transformations to the case of the complex Lorentz group SU(3.1
A modern Approach to Born Reciprocity / Stuart Morgan
Summary
The generalization of the vector parametrization of Lorentz group transformations to the case of the complex Lorentz group SU(3.1) saving the invariant real bilinear form is realized. Doklady Natsional’noi akademii nauk Belarusi = Doklady of the National Academy of Sciences of Belarus, 2018, vol 62, no. Барутом [8] (в дальнейшем для краткости – группа Барута – Barut Group – BG). Эта группа (BG) определена как группа преобразований z′ = Lz, действующих в пространстве комплексных 4-векторов z= x + iy, где x и y – вещественные 4-векторы относительно преобразований группы SO(3.1).
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