Catalyst useful for the polymerization of olefin

Claim 1

A catalyst useful for the polymerization of olefins, comprising the following component (A) and component (B): Component (A): A transition metallic compound having the following formula [I]: wherein: M represents a transition metal selected from the group consisting of titanium, zirconium and hafnium; two R¹s may be the same or different, and represent a monovalent hydrocarbyl group having 1 to 6 carbon atoms, or a monovalent hydrocarbyl group having 1 to 6 carbon atoms and containing silicon; two R²s may be the same or different, and represent a divalent hydrocarbyl group having 4 to 20 carbon atoms, or a divalent hydrocarbyl group having 4 to 20 carbon atoms and containing silicon, which residue is bonded to two adjacent carbon atoms of the five-membered cyclic ligand; R³ represents a divalent hydrocarbyl group having 1 to 30 carbon atoms in total, or a divalent hydrocarbyl group having 1 to 30 carbon atoms in total and containing silicon or germanium; and X and Y independently represent hydrogen, halogen, a monovalent hydrocarbyl group having 1 to 20 carbon atoms, or a monovalent hydrocarbyl group having 1 to 20 carbon atoms and containing nitrogen, oxygen or silicon, provided that the two five-membered cyclic ligands each having the substituents R¹ and R² are asymmetric about a plane containing M when viewed from their relative position in terms of the group R³. Component (B): Alumoxane having the following formula [II] or [III]: wherein m is a number of 4 to 30, and R⁴ is a monovalent hydrocarbyl group.