6533b7d2fe1ef96bd125e908
RESEARCH PRODUCT
Equivariant Triviality of Quasi-Monomial Triangular $$\mathbb{G}_{a}$$-Actions on $$\mathbb{A}^{4}$$
Imad JaradatDavid R. FinstonAdrien Duboulozsubject
Discrete mathematicsMonomialPure mathematicsArgumentEquivariant mapAffine transformationTrivialityMathematicsAdditive groupdescription
We give a direct and self-contained proof of the fact that additive group actions on affine four-space generated by certain types of triangular derivations are translations whenever they are proper. The argument, which is based on explicit techniques, provides an illustration of the difficulties encountered and an introduction to the more abstract methods which were used recently by the authors to solve the general triangular case.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-01-01 |