PARAMETRIZATION OF THE TRANSFORMATIONS OF THE LORENTZ COMPLEX GROUP FOR SPACES WITH REAL METRICS
https://doi.org/10.29235/1561-8323-2018-62-2-159-163
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.
About the Authors
Yu. A. Kurochkin
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
D. Sc. (Physics and Mathematics), Assistant Professor, Head of the Center
Belarus
D. Sc. (Physics and Mathematics), Assistant Professor, Head of the Center
L. M. Tomilchik
B. I. Stepanov Institute of Physics of the National Academy of Sciences of Belarus, Minsk
Belarus
Corresponding Member, D. Sc. (Physics and Mathematics), Professor, Chief researcher
Belarus
Corresponding Member, D. Sc. (Physics and Mathematics), Professor, Chief researcher
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