Process for the preparation of polyolefin waxes in the presence of a metallocene catalyst and a co-catalyst

A process for the preparation of a polyolefin wax by polymerization or copolymerization of olefins or diolefins at a temperature in the range of -40.degree. to 95.degree. C., at a pressure in the range of 0.5 to 120 bar, in a suspension in the presence of a catalyst comprising a metallocene and a cocatalyst selected from the group consisting of an organoaluminum compound, R.sup.22 NH.sub.4-x BR.sup.23 .sub.4,R.sup.22.sub.x PH.sub.4-x BR.sup.23.sub.4, R.sup.22.sub.3 CBR.sup.23.sub.4, or BR.sup.23.sub.3 where x is a number from 1 to 4, the radicals R.sup.22 are identical or different, and are C.sub.1 -C.sub.10 alkyl or C.sub.8 -C.sub.18 -aryl, or two radicals R.sup.22, together with the atom linking them, form a ring, and the radicals R.sup.23 are identical or different, and are an unsubstituted or substituted C.sub.6 -C.sub.18 -aryl wherein the substituents are selected from the group consisting of alkyl, haloalkyl and fluorine, and wherein the metallocene is a compound of the formula I ##STR9## in which M.sup.1 is a metal of group IVb, Vb or VIb of the Periodic Table of Elements, R.sup.1 and R.sup.2 are identical or different and are a hydrogen atom, a C.sub.1 -C.sub.10 -alkyl group, a C.sub.1 -C.sub.10 -alkoxy group, C.sub.6 -C.sub.10 -aryl group, a C.sub.6 -C.sub.10 -aryloxy group, a C.sub.2 -C.sub.10 -alkenyl group, a C.sub.7 -C.sub.40 -arylalkyl group, a C.sub.7 -C.sub.40 -alkylaryl group, a C.sub.8 -C.sub.40 -arylalkenyl group or a halogen atom and R.sup.3 and R.sup.4 are identical or different end are a mononuclear or polynuclear hydrocarbon radial capable of forming a sandwich structure with the central atom M.sup.1, or one of the radials R.sup.3 and R.sup.4 is a substituted nitrogen atom and hydrocarbons having 3 carbon atoms or a halogenated hydrocarbon which boils at a temperature not higher than 95.degree. C. serve as suspending agents.