Equivariant vector bundles over the complex projective line

Let G be a finite abelian group acting faithfully on \({\mathbb C}{\mathbb P}^1\) $\mathbb{C}{\mathbb{P}}^1$ via holomorphic automorphisms. In [2] the G–equivariant algebraic vector bundles on G–invariant affine open subsets of \({\mathbb C}{\mathbb P}^1\) $\mathbb{C}{\mathbb{P}}^1$ were classified. We classify the G–equivariant algebraic vector bundles on \({\mathbb C}{\mathbb P}^1\) $\mathbb{C}{\mathbb{P}}^1$ .