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has been cited by the following article:
TITLE: On the Poincaré Algebra in a Complex Space-Time Manifold
AUTHORS: Nathalie Debergh, Gilles D’Agostini, Jean-Pierre Petit
KEYWORDS: Complex Minkowski Manifold, Poincaré Group, Lie Algebraic Methods Applied to Physics
JOURNAL NAME: Journal of Modern Physics, Vol.12 No.3, February 10, 2021
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.