Matches in UGent Biblio for { ?s ?p The aim of this paper is to study complex boosts in complex Minkowski space-time that preserve the Hermitian norm. Starting from the spin group Spin+(2n; 2m;R) in the real Minkowski space R2n;2m we construct a Clifford realization of the pseudo-unitary group U(n;m) using the space-time Witt basis in the framework of Hermitian Clifford algebra. Restricting to the case of one complex time direction we derive a general formula for a complex boost in an arbitrary complex direction and its KAK−decomposition, generalizing the well-known formula of a real boost in an arbitrary real direction. In the end we derive the complex Einstein velocity addition law for complex relativistic velocities, by the projective model of hyperbolic n−space.. }
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- aggregation abstract "The aim of this paper is to study complex boosts in complex Minkowski space-time that preserve the Hermitian norm. Starting from the spin group Spin+(2n; 2m;R) in the real Minkowski space R2n;2m we construct a Clifford realization of the pseudo-unitary group U(n;m) using the space-time Witt basis in the framework of Hermitian Clifford algebra. Restricting to the case of one complex time direction we derive a general formula for a complex boost in an arbitrary complex direction and its KAK−decomposition, generalizing the well-known formula of a real boost in an arbitrary real direction. In the end we derive the complex Einstein velocity addition law for complex relativistic velocities, by the projective model of hyperbolic n−space.".