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.