Ferreira, MiltonSommen, Franciscus2019-02-062019-02-062013-06Ferreira, M., and Sommen, F., Complex boosts: a Hermitian Clifford algebra approach, Adv. Appl. Clifford Algebras, 23(2), 2013, 339-3620188-70091661-4909http://hdl.handle.net/10400.8/3806The aim of this paper is to study complex boosts in complex Minkowski space-time that preserves the Hermitian norm. Starting from the spin group Spin$^+(2n,2m,\bkR)$ in the real Minkowski space $\bkR^{2n,2m}$ 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.engPseudo-unitary groupComplex boostsHermitian Clifford algebraComplex Einstein velocity additionjournal article10.1007/s00006-012-0377-x