Let G be a linear algebraic group over a eld K of characteristic 0. An integer m is called a global degree bound for G if for every linear representation V the invariant ring K[V ] is generated by invariants of degree at most m. We prove that if G has a global degree bound, then G must be nite. The converse is well known from Noether's degree bound
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
AbstractWe propose an algorithm for computing invariant rings of algebraic groups which act linearly...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
Consider a Noetherian domain $R$ and a finite group $G \subseteq Gl_n(R)$. We prove that if the ring...
AbstractThe main purpose of this paper is to verify a conjecture of Derksen and Kemper concerned wit...
AbstractWe consider linear representations of a finite group G on a finite dimensional vector space ...
We prove two statements. The first one is a conjecture of Ian Hughes which states that if f_1,..., f...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
AbstractThis is an invitation to invariant theory of finite groups; a field where methods and result...
SUMMARY: Let ρ: G GL(n, IF) be a faithful representation of the ®nite group G over the ®eld IF. In ...
Let R be a commutative ring, V a finitely generated free R-module and G less than or equal to GL(R)(...
SUMMARY: Let ρ: G GL(n, IF) be a faithful representation of the ®nite group G over the ®eld IF. In ...
We study semisimple Hopf algebra actions on Artin-Schelter regular algebras and prove several upper ...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
AbstractWe propose an algorithm for computing invariant rings of algebraic groups which act linearly...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
Consider a Noetherian domain $R$ and a finite group $G \subseteq Gl_n(R)$. We prove that if the ring...
AbstractThe main purpose of this paper is to verify a conjecture of Derksen and Kemper concerned wit...
AbstractWe consider linear representations of a finite group G on a finite dimensional vector space ...
We prove two statements. The first one is a conjecture of Ian Hughes which states that if f_1,..., f...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
AbstractThis is an invitation to invariant theory of finite groups; a field where methods and result...
SUMMARY: Let ρ: G GL(n, IF) be a faithful representation of the ®nite group G over the ®eld IF. In ...
Let R be a commutative ring, V a finitely generated free R-module and G less than or equal to GL(R)(...
SUMMARY: Let ρ: G GL(n, IF) be a faithful representation of the ®nite group G over the ®eld IF. In ...
We study semisimple Hopf algebra actions on Artin-Schelter regular algebras and prove several upper ...
Let G be a finite group acting on a polynomial ring A over the field K and let AG denote the corresp...
AbstractLetVdenote a finite-dimensionalKvector space and letGdenote a finite group ofK-linear automo...
AbstractOne of the fundamental theorems of global class field theory states that there is a one-to-o...
AbstractWe propose an algorithm for computing invariant rings of algebraic groups which act linearly...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...