The Lorentz group as a subgroup of the complexified group of conformal transformations on spaces endowed with Berwald-Moor metric
It is shown, that the Lorentz group is a subgroup of the complexified group of conformal transformations on the space of poly-numbers H<sub>n</sub> with n >=2, to which correspond the Finsler geometries with Berwald-Moor metric function