Non-linearizable Actions of Commutative Reductive Groups
arXiv:0710.3372
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.
10 pages; revised version, proofs clarified