13 citations · 26 across the 6 of their papers we have counts for
7 papers
Generic separation for modular invariants
Fabian Reimers, Müfit Sezer
For modular indecomposable representations of a cyclic group of prime order we propose a list of polynomial invariants of degree that, together with a simple invar…
Vector invariants of permutation groups in characteristic zero
Fabian Reimers, Müfit Sezer
We consider a finite permutation group acting naturally on a vector space over a field . A well known theorem of Göbel asserts that the corresponding ring of invariants…
Separating invariants over finite fields
Gregor Kemper, Artem Lopatin, Fabian Reimers
We determine the minimal number of separating invariants for the invariant ring of a matrix group over the finite field . We show th…
Separating invariants for multisymmetric polynomials
Artem Lopatin, Fabian Reimers
This article studies separating invariants for the ring of multisymmetric polynomials in sets of variables over an arbitrary field . We prove that in order to o…
Separating Invariants for Two Copies of the Natural -Action
Fabian Reimers
This note provides a set of separating invariants for the ring of vector invariants of two copies of the natural -representation over a field of chara…
Separating Invariants of Finite Groups
Fabian Reimers
This paper studies separating invariants of finite groups acting on affine varieties through automorphisms. Several results, proved by Serre, Dufresne, Kac-Watanabe and Gordeev, an…
Polynomial Separating Algebras and Reflection Groups
Fabian Reimers
This note considers a finite algebraic group acting on an affine variety by automorphisms. Results of Dufresne on polynomial separating algebras for linear representations…