We determine the minimal number of separating invariants for the invariant ring of a matrix
group G≤ GL n (F q) over the finite field F q. We show that this minimal number can be …

In this article we review the question of constructing geometric quotients of actions of linear
algebraic groups on irreducible varieties over algebraically closed fields of characteristic …

Degree bounds for algebra generators of invariant rings are a topic of longstanding interest
in invariant theory. We study the analogous question for field generators for the field of …

Separating invariants for 2 × 2 matrices - ScienceDirect Skip to main contentSkip to article
Elsevier logo Journals & Books Search RegisterSign in View PDF Download full issue Search …

This article studies separating invariants for the ring of multisymmetric polynomials in $ m $
sets of $ n $ variables over an arbitrary field $\mathbb {K} $. We prove that in order to obtain …

Over an algebraically closed field, we described a minimal set of representatives for G 2-
orbits on the set O 2 of pairs of octonions.

We describe separating G 2-invariants of several copies of the algebra of octonions over an
algebraically closed field of characteristic two. We also obtain a minimal separating and a …

The first part of this paper is a refinement of Winkelmann's work on invariant rings and
quotients of algebraic group actions on affine varieties, where we take a more geometric …

We established two-sided Curto-Herrero conjecture for pairs of matrices, where the first
matrix has a simple spectrum. Namely, it is shown that these pairs are separated by ranks of …

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 …