Abstract. In this paper we establish a connection between the associated variety of a representation and the existence of certain degenerate Whittaker functionals, for both smooth and K-finite vectors, for all quasi-split real reductive groups, thereby generalizing results of Kostant, Matumoto and others. 1
Let K be a maximal unramified extension of a nonarchimedean local field of residual characteristic p...
AbstractFor any finite group of Lie type G(q), Deligne and Lusztig [P. Deligne, G. Lusztig, Represen...
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools...
Abstract. Let F be a non-Archimedean local field and G the group of F-points of a connected reductiv...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
Let G = G(F) be the F-rational points of a reductive algebraic group G over a finite field F. Let P ...
Let k be a finite extension of Qp , let G be an absolutely simple split reductive group over k , an...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
AbstractA holomorphic family of differential operators of infinite order is constructed that transfo...
Abstract. We characterize representations of a connected real reductive group which are invariant un...
We prove that cuspidal automorphic D-modules have non-vanishing Whittaker coefficients, generalizing...
In [CG10], the first two named authors defined an action of a Weyl group on rational functions, and ...
In geometric representation theory, one often wishes to describe representations realized on spaces ...
In this paper we construct a family of irreducible representations of a Chevalley group over a fini...
Abstract. In [CG10] the first two named authors defined an action of a Weyl group on rational functi...
Let K be a maximal unramified extension of a nonarchimedean local field of residual characteristic p...
AbstractFor any finite group of Lie type G(q), Deligne and Lusztig [P. Deligne, G. Lusztig, Represen...
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools...
Abstract. Let F be a non-Archimedean local field and G the group of F-points of a connected reductiv...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
Let G = G(F) be the F-rational points of a reductive algebraic group G over a finite field F. Let P ...
Let k be a finite extension of Qp , let G be an absolutely simple split reductive group over k , an...
We investigate Fourier coefficients of automorphic forms on split simply-laced Lie groups G. We show...
AbstractA holomorphic family of differential operators of infinite order is constructed that transfo...
Abstract. We characterize representations of a connected real reductive group which are invariant un...
We prove that cuspidal automorphic D-modules have non-vanishing Whittaker coefficients, generalizing...
In [CG10], the first two named authors defined an action of a Weyl group on rational functions, and ...
In geometric representation theory, one often wishes to describe representations realized on spaces ...
In this paper we construct a family of irreducible representations of a Chevalley group over a fini...
Abstract. In [CG10] the first two named authors defined an action of a Weyl group on rational functi...
Let K be a maximal unramified extension of a nonarchimedean local field of residual characteristic p...
AbstractFor any finite group of Lie type G(q), Deligne and Lusztig [P. Deligne, G. Lusztig, Represen...
Let G be a connected reductive algebraic group defined over a finite field Fq. One of the main tools...