In this paper we construct a family of irreducible representations of a Chevalley group over a finite ring R of truncated power series over a field Fq. This is done by a cohomological method extending that of Deligne and the author in the case R = Fq
This Thesis is motivated by two problems, each concerning representations (homomorphisms) of groups...
International audienceWe study three fundamental topics in the representation theory of disconnected...
In this thesis we first prove that the algebra of invariants for reductive groups over the base fiel...
0. Let G be a reductive group over Z. For any field F we can consider the group Gp of F-points on G....
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools...
AbstractFor any finite group of Lie type G(q), Deligne and Lusztig [P. Deligne, G. Lusztig, Represen...
In geometric representation theory, one often wishes to describe representations realized on spaces ...
Our starting point is Mumford's conjecture, on representations of Chevalley groups over fields, as i...
This thesis contributes to the representation theory of finite Chevalleygroups. First we describe al...
Let G be a reductive algebraic group over a field of prime characteristic. One can associate to G (o...
This thesis is about the modular representation theory of finite reductive groups in non-defining ch...
Abstract. We characterize representations of a connected real reductive group which are invariant un...
A research level synthesis and reference in a key branch of modern algebra, first published in 2004
We prove a criterion for the irreducibility of an integral group representation \rho over the fracti...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
This Thesis is motivated by two problems, each concerning representations (homomorphisms) of groups...
International audienceWe study three fundamental topics in the representation theory of disconnected...
In this thesis we first prove that the algebra of invariants for reductive groups over the base fiel...
0. Let G be a reductive group over Z. For any field F we can consider the group Gp of F-points on G....
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools...
AbstractFor any finite group of Lie type G(q), Deligne and Lusztig [P. Deligne, G. Lusztig, Represen...
In geometric representation theory, one often wishes to describe representations realized on spaces ...
Our starting point is Mumford's conjecture, on representations of Chevalley groups over fields, as i...
This thesis contributes to the representation theory of finite Chevalleygroups. First we describe al...
Let G be a reductive algebraic group over a field of prime characteristic. One can associate to G (o...
This thesis is about the modular representation theory of finite reductive groups in non-defining ch...
Abstract. We characterize representations of a connected real reductive group which are invariant un...
A research level synthesis and reference in a key branch of modern algebra, first published in 2004
We prove a criterion for the irreducibility of an integral group representation \rho over the fracti...
AbstractLet G be a connected reductive group defined over an algebraically closed field k of charact...
This Thesis is motivated by two problems, each concerning representations (homomorphisms) of groups...
International audienceWe study three fundamental topics in the representation theory of disconnected...
In this thesis we first prove that the algebra of invariants for reductive groups over the base fiel...
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