Add to ORKGWe study semisimple Hopf algebra actions on Artin-Schelter regular algebras and prove several upper bounds on the degrees of the minimal generators of the invariant subring, and on the degrees of syzygies of modules over the invariant subring. These results are analogues of results for group actions on commutative polynomial rings proved by Noether, Fogarty, Fleischmann, Derksen, Sidman, Chardin, and Symonds.Comment: To appear in Advances in Mathematic
We consider a finite permutation group acting naturally on a vector space $V$ over a field $\Bbbk$. ...
AbstractThe Noether number of a representation is the largest degree of an element in a minimal homo...
The best known method to give a lower bound for the Noether number of a given finite group is to use...
Cataloged from PDF version of article.For a finite group G acting faithfully on a finite-dimensional...
Cataloged from PDF version of article.We consider an indecomposable representation of a cyclic p-gro...
AbstractThis paper concerns conditions on the action of a finite dimensional semisimple Hopf algebra...
AbstractLet R be a commutative ring, V a finitely generated free R-module and G⩽GLR(V) a finite grou...
Consider a Noetherian domain $R$ and a finite group $G \subseteq Gl_n(R)$. We prove that if the ring...
We consider an indecomposable representation of a cyclic p-group Zpr over a field of characteristic ...
Let S be a polynomial ring K[x1, . . . , xn] over a field K and let Fbe a non-negatively graded free...
Let S be a polynomial ring K[x1, . . . , xn] over a field K and let Fbe a non-negatively graded free...
For a finite group G acting faithfully on a finite-dimensional F-vector space V, we show that in the...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
It is proved that the universal degree bound for separating polynomial invariants of a finite abelia...
We consider a finite permutation group acting naturally on a vector space $V$ over a field $\Bbbk$. ...
AbstractThe Noether number of a representation is the largest degree of an element in a minimal homo...
The best known method to give a lower bound for the Noether number of a given finite group is to use...
Cataloged from PDF version of article.For a finite group G acting faithfully on a finite-dimensional...
Cataloged from PDF version of article.We consider an indecomposable representation of a cyclic p-gro...
AbstractThis paper concerns conditions on the action of a finite dimensional semisimple Hopf algebra...
AbstractLet R be a commutative ring, V a finitely generated free R-module and G⩽GLR(V) a finite grou...
Consider a Noetherian domain $R$ and a finite group $G \subseteq Gl_n(R)$. We prove that if the ring...
We consider an indecomposable representation of a cyclic p-group Zpr over a field of characteristic ...
Let S be a polynomial ring K[x1, . . . , xn] over a field K and let Fbe a non-negatively graded free...
Let S be a polynomial ring K[x1, . . . , xn] over a field K and let Fbe a non-negatively graded free...
For a finite group G acting faithfully on a finite-dimensional F-vector space V, we show that in the...
We consider linear representations of a finite group G on a finite dimensional vector space over a f...
AbstractLet G be a finite group acting on a polynomial ring A over the field K and let AG denote the...
It is proved that the universal degree bound for separating polynomial invariants of a finite abelia...
We consider a finite permutation group acting naturally on a vector space $V$ over a field $\Bbbk$. ...
AbstractThe Noether number of a representation is the largest degree of an element in a minimal homo...
The best known method to give a lower bound for the Noether number of a given finite group is to use...