Skip to main content
NCBI home page
Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1991 Oct 15;88(20):9065–9066. doi: 10.1073/pnas.88.20.9065

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

M Masuda 1, L Moser-Jauslin 1, T Petrie 1
PMCID: PMC52652  PMID: 11607221

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.

Full text

PDF
9065

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Masuda M., Petrie T. Equivariant algebraic vector bundles over representations of reductive groups: theory. Proc Natl Acad Sci U S A. 1991 Oct 15;88(20):9061–9064. doi: 10.1073/pnas.88.20.9061. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences

RESOURCES