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On the Poincaré Algebra in a Complex Space-Time Manifold
Department of Agronomy, Haute Ecole Charlemagne, Huy, Belgium
Manaty Research Group, Glanon, Dijon, France
Manaty Research Group, Glanon, Dijon, France
- 1 Department of Agronomy, Haute Ecole Charlemagne, Huy, Belgium
- 2 Manaty Research Group, Glanon, Dijon, France
- 3 Manaty Research Group, Glanon, Dijon, France
Journal of Modern Physics·Volume 12 (2021)·Pages 218–228·Published 7 February 2021·DOI10.4236/jmp.2021.123017
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Abstract
We extend the Poincaré group to the complex Minkowski space-time. Special attention is paid to the corresponding algebra that we achieve through matrices as well as differential operators. We also point out the generalizations of the two Casimir operators.
KeywordsComplex Minkowski ManifoldPoincaréGroupLie Algebraic Methods Applied to Physics
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