The main purpose of this paper is to give a survey of algorithms in invariant theory, with
emphasis on nonreductive groups and on recent developments. But the article has some …

We consider indecomposable representations of the Klein four group over a field of
characteristic 2 and of a cyclic group of order pm with p, m coprime over a field of …

Nagata's famous counterexample to Hilbert's fourteenth problem shows that the ring of
invariants of an algebraic group action on an affine algebraic variety is not always finitely …

Let G be a linear algebraic group acting linearly on a vector space (or more generally, an
affine variety) V, and let k [V] G be the corresponding algebra of invariant polynomial …

Let G be a linear algebraic group acting linearly on a vector space (or more generally, an
affine variety) V, and let k VG be the corresponding algebra of invariant polynomial …

We explicitly construct a finite set of separating invariants for the basic ${\mathbb G} _ {a} $-
actions. These are the finite dimensional indecomposable rational linear representations of …

We consider a finite-dimensional indecomposable modular representation of a cyclic p-
group and we give a recursive description of an associated separating set: We show that a …

For a group G acting on an affine variety X, the separating variety is the closed subvariety of
X× X encoding which points of X are separated by invariants. We concentrate on the …

A Note on Separating Vector Invariants for Modular Representations Page 1 International
Journal of Algebra, Vol. 6, 2012, no. 6, 291 - 297 A Note on Separating Vector Invariants for …

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