2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/166014We 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 clarifiedAlgebraic GeometryRepresentation Theory14L30; 20G15text