Equivariant algebraic vector bundles over representations of reductive groups: applications.

Let G be a connected semisimple Lie group over C. In this paper we construct continuous families of nonisomorphic algebraic G-vector bundles in which the base space is a fixed representation of G. The G-vector bundles constructed are all G-invariant hypersurfaces in a representation of G. We show that in some cases these vector bundles yield continuous families of distinct G-actions on affine spaces.