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math.RT2025
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…
math.RT2025
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…
math.RT2024
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…