21 citations · 26 across the 4 of their papers we have counts for
6 papers
Affine Hecke algebras for classical p-adic groups
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
We consider four classes of classical groups over a non-archimedean local field F: symplectic, (special) orthogonal, general (s)pin and unitary. These groups need not be quasi-spli…
Arthur packets for -adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
Clifton Cunningham, Andrew Fiori, Ahmed Moussaoui +2
In this article we propose a geometric description of Arthur packets for -adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Ad…
Affine Hecke algebras for Langlands parameters
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
It is well-known that affine Hecke algebras are very useful to describe the smooth representations of any connected reductive p-adic group G, in terms of the supercuspidal represen…
Graded Hecke algebras for disconnected reductive groups
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
We introduce graded Hecke algebras H based on a (possibly disconnected) complex reductive group G and a cuspidal local system L on a unipotent orbit of a Levi subgroup M of G. Thes…
Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups
Ahmed Moussaoui
In this paper we prove the Aubert-Baum-Plymen-Solleveld conjecture for the split classical groups and establish the connection with the Langlands correspondence. To do this, we rev…
Generalizations of the Springer correspondence and cuspidal Langlands parameters
Anne-Marie Aubert, Ahmed Moussaoui, Maarten Solleveld
Let H be any reductive p-adic group. We introduce a notion of cuspidality for enhanced Langlands parameters for H, which conjecturally puts supercuspidal H-representations in bijec…