Equivariant algebraic vector bundles over representations of reductive groups: applications

M Masuda; L Moser-Jauslin; T Petrie

doi:10.1073/pnas.88.20.9065

Equivariant algebraic vector bundles over representations of reductive groups: applications

Proc Natl Acad Sci U S A. 1991 Oct 15;88(20):9065-6. doi: 10.1073/pnas.88.20.9065.

Authors

M Masuda¹, L Moser-Jauslin, T Petrie

Affiliation

¹ Osaka City University, Osaka, Japan.

Abstract

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.