Patent ID: 7214745

Claim:
A process for producing an olefin polymer, comprising: polymerizing at least one olefin in the presence of a polymerization catalyst comprising an alumoxane and at least one transition metal compound selected from the group consisting of transition metal compounds represented by the following formula (1); and an organoaluminum compound represented by the following formula (2): wherein each A is a substituted indenyl group, or one of A is a substituted indenyl group and the other is a group selected from groups which have a nitrogen atom or an oxygen atom coordinated or directly bonded to metal M and, if necessary, a C 1-20 hydrocarbon group; said groups may further contain from 1 to 3 boron, silicon, phosphorus, selenium, sulfur, chlorine or fluorine atoms, and in a case where each A is a substituted indenyl group, the two A may be the same or different; wherein Y is a substituted silicon group or a substituted boron group, which has bonds to the two A and further has hydrogen or a C 1-20 hydrocarbon group as a substituent, the substituent in Y may contain from 1 to 5 nitrogen, boron, silicon, phosphorus, selenium, oxygen, sulfur, chlorine or fluorine atoms, or may have a cyclic structure; X each independently is hydrogen, halogen, a C 1-15 alkyl group, a C 3-20 alkenyl group, a C 6-10 aryl group, a C 8-12 alkylaryl group, a silyl group having a C 1-4 hydrocarbon substituent, a C 1-10 alkoxy group, or an amido or amino group having hydrogen or a C 1-22 hydrocarbon substituent; n is 0, 1 or 2; and when a plurality of X are present, they may be bonded to one another, and M is zirconium, hafnium or titanium; Al(R) 3 Formula (2) wherein R each independently is hydrogen or C 2-20 hydrocarbon, provided that among these R, one or two may be halogen; R may have a cyclic structure; when these R are hydrocarbon groups, they may contain from 1 to 5 nitrogen, silicon, phosphorus or halogen atoms; a plurality of R in the formula may have a bonding structure; and a plurality of such organoaluminum compounds may be bonded via R; wherein a molar amount of aluminum derived from the alumoxane in the polymerization catalyst is at most 80% based on the molar amount of aluminum derived from the organoaluminum compound; wherein the amount of a Lewis basic substance in a polymerization solution is at most 30 ppm; wherein the polymerization activity is at least 1000×10 6 g/mol−M·h.