English

Non-linearizable Actions of Commutative Reductive Groups

Algebraic Geometry 2008-07-31 v2 Representation Theory

Abstract

We generalize a construction of Freudenburg and Moser-Jauslin in order to obtain an example of a non-linearizable action of a commutative reductive algebraic group on the affine space for every field of characteristic zero which admits a quadratic field extension.

Keywords

Cite

@article{arxiv.0710.3372,
  title  = {Non-linearizable Actions of Commutative Reductive Groups},
  author = {Jorg Winkelmann},
  journal= {arXiv preprint arXiv:0710.3372},
  year   = {2008}
}

Comments

10 pages; revised version, proofs clarified

R2 v1 2026-06-21T09:33:17.594Z