Add to ORKGIn this manuscript, we define the notion of linearly reductive groups over commutative unital rings and study the finiteness and the Cohen-Macaulay property of the ring of invariants under rational actions of a linearly reductive group. Moreover, we study the equivalence of different notions of reductivity over regular rings of dimension two by studying these properties locally.Comment: 17 page
We call an affine algebraic supergroup quasireductive if its underlying algebraic group is reductive...
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We prove new results in generalized Harish-Chandra theory providing a description of the so-called B...
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This survey article has two components. The first part gives a gentle introduction to Serre's notion...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
LetFqbe a finite field of characteristicp, and letW2(Fq)be thering of Witt vectors of length two ove...
I’ll give a survey on the known results on finite generation of invariants for nonreductive groups, ...
AbstractWe will give an algorithm for computing generators of the invariant ring for a given represe...
AbstractIfVis a faithful module for a finite groupGover a field of characteristicp, then the ring of...
Lusztig has given a construction of certain representations of reductive groups over finite local pr...
We call an affine algebraic supergroup quasireductive if its underlying algebraic group is reductive...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
We prove new results in generalized Harish-Chandra theory providing a description of the so-called B...
The theorem of Hochster and Roberts says that for any module V of a linearly reductive gorup G over ...
Let G be an affine connected algebraic group acting regularly on an affine Krull scheme X = Spec(R) ...
AbstractLet K be an algebraically closed field. For a finitely generated graded commutative K-algebr...
Lusztig has given a construction of certain representations of reductive groups over finite local pr...
13 p.We prove a straight generalization to an arbitrary base of Mumford's conjecture on Chevalley gr...
This survey article has two components. The first part gives a gentle introduction to Serre's notion...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
LetFqbe a finite field of characteristicp, and letW2(Fq)be thering of Witt vectors of length two ove...
I’ll give a survey on the known results on finite generation of invariants for nonreductive groups, ...
AbstractWe will give an algorithm for computing generators of the invariant ring for a given represe...
AbstractIfVis a faithful module for a finite groupGover a field of characteristicp, then the ring of...
Lusztig has given a construction of certain representations of reductive groups over finite local pr...
We call an affine algebraic supergroup quasireductive if its underlying algebraic group is reductive...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
We prove new results in generalized Harish-Chandra theory providing a description of the so-called B...