When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately tied with finite generation of subrings of invariants. Geometric reductivity is weaker and less pertinent in this context. We give a survey of these properties and their connections
We state a conjecture on the reduction modulo the defining characteristic of a unipotent representat...
Algebraic structures and fields of definition I have written this essay in order to summarize in one...
AbstractIn this paper we prove that every finite dimensional commutative Hopf Algebra is geometrical...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
Our starting point is Mumford's conjecture, on representations of Chevalley groups over fields, as i...
In this manuscript, we define the notion of linearly reductive groups over commutative unital rings ...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
Let $G$ be a reductive group over a field $k$ which is algebraically closedof characteristic $p \neq...
AbstractWe formulate a notion of “geometric reductivity” in an abstract categorical setting which we...
Let $G$ be a reductive group over a field $k$ which is algebraically closedof characteristic $p \neq...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
AbstractWe will give an algorithm for computing generators of the invariant ring for a given represe...
In this note, we unify and extend various concepts in the area of \(\it G\)-complete reducibility, w...
Abstract. In a recent paper, Gopal Prasad and Jiu-Kang Yu introduced the notion of a quasi-reductive...
International audienceWe develop an invariant deformation theory, in a form accessible to practice, ...
We state a conjecture on the reduction modulo the defining characteristic of a unipotent representat...
Algebraic structures and fields of definition I have written this essay in order to summarize in one...
AbstractIn this paper we prove that every finite dimensional commutative Hopf Algebra is geometrical...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
Our starting point is Mumford's conjecture, on representations of Chevalley groups over fields, as i...
In this manuscript, we define the notion of linearly reductive groups over commutative unital rings ...
Abstract Let G be an affine algebraic group acting on an affine variety X. We present an algorithm f...
Let $G$ be a reductive group over a field $k$ which is algebraically closedof characteristic $p \neq...
AbstractWe formulate a notion of “geometric reductivity” in an abstract categorical setting which we...
Let $G$ be a reductive group over a field $k$ which is algebraically closedof characteristic $p \neq...
AbstractLet G be an affine algebraic group acting on an affine variety X. We present an algorithm fo...
AbstractWe will give an algorithm for computing generators of the invariant ring for a given represe...
In this note, we unify and extend various concepts in the area of \(\it G\)-complete reducibility, w...
Abstract. In a recent paper, Gopal Prasad and Jiu-Kang Yu introduced the notion of a quasi-reductive...
International audienceWe develop an invariant deformation theory, in a form accessible to practice, ...
We state a conjecture on the reduction modulo the defining characteristic of a unipotent representat...
Algebraic structures and fields of definition I have written this essay in order to summarize in one...
AbstractIn this paper we prove that every finite dimensional commutative Hopf Algebra is geometrical...
DOI
Add to ORKG