International audienceWe show that a reductive group scheme over a base scheme S admits a faithful linear representation if and only if its radical torus is isotrivial, that is, it splits after a finite étale cover
Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-com...
International audienceWe study three fundamental topics in the representation theory of disconnected...
Let G be a connected reductive linear algebraic group over C and let (ae; V ) be a regular represen...
International audienceWe show that a reductive group scheme over a base scheme S admits a faithful l...
Let S be a reduced, irreducible scheme and G a reductive proup shceme over S. A representation of G ...
The theorem of Hochster and Roberts says that for any module V of a linearly reductive gorup G over ...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
Abstract. Let G be a split reductive group over a finite field Fq. Let F D Fq.t / and let A denote t...
Abstract. In a recent paper, Gopal Prasad and Jiu-Kang Yu introduced the notion of a quasi-reductive...
Let F be a field, let G be a finite group, and let π be a linear representation of G over F; that is...
A research level synthesis and reference in a key branch of modern algebra, first published in 2004
We completely determine the residual automorphic repre-sentations coming from the torus of odd ortho...
We investigate the structure of root data by considering their decomposition as a product of a semis...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
Abstract. — We develop the relative theory of reductive group schemes, using dynamic techniques and ...
Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-com...
International audienceWe study three fundamental topics in the representation theory of disconnected...
Let G be a connected reductive linear algebraic group over C and let (ae; V ) be a regular represen...
International audienceWe show that a reductive group scheme over a base scheme S admits a faithful l...
Let S be a reduced, irreducible scheme and G a reductive proup shceme over S. A representation of G ...
The theorem of Hochster and Roberts says that for any module V of a linearly reductive gorup G over ...
Variation of Geometric Invariant Theory (VGIT) [DH98, Tha96] studies the structure of the dependence...
Abstract. Let G be a split reductive group over a finite field Fq. Let F D Fq.t / and let A denote t...
Abstract. In a recent paper, Gopal Prasad and Jiu-Kang Yu introduced the notion of a quasi-reductive...
Let F be a field, let G be a finite group, and let π be a linear representation of G over F; that is...
A research level synthesis and reference in a key branch of modern algebra, first published in 2004
We completely determine the residual automorphic repre-sentations coming from the torus of odd ortho...
We investigate the structure of root data by considering their decomposition as a product of a semis...
When the base ring is not a field, power reductivity of a group scheme is a basic notion, intimately...
Abstract. — We develop the relative theory of reductive group schemes, using dynamic techniques and ...
Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-com...
International audienceWe study three fundamental topics in the representation theory of disconnected...
Let G be a connected reductive linear algebraic group over C and let (ae; V ) be a regular represen...