Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588561 | Journal of Algebra | 2006 | 9 Pages |
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 kGa[V] be the ring of Ga-invariants. In this article, we show that the ring of Ga-invariants kGa[V] is a polynomial ring under the assumption that V is a codimension one Ga-module.
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