Elsevier

Journal of Algebra

Volume 305, Issue 2, 15 November 2006, Pages 1084-1092
Journal of Algebra

On the polynomiality of invariant rings for codimension one Ga-modules

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Abstract

Let k be an algebraically closed field of positive characteristic and let Ga be its additive group. Let Ga act linearly on a finite-dimensional vector space V, let k[V] be the ring of polynomial functions on V, and let k[V]Ga be the ring of Ga-invariants. In this article, we show that the ring of Ga-invariants k[V]Ga is a polynomial ring under the assumption that V is a codimension one Ga-module.

Keywords

Weitzenböck problem
Hilbert's fourteenth problem

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