4 problems

Generalized projective Euler characteristic conjecture. There exists an integer $Q(d)$ such that, whenever $G$ is finite and ${\rm gcd}(\#G,Q(d))=1$, one has

Let $c$ be a two-sided Kazhdan–Lusztig cell in a finite Weyl group, let $G_c$ be the associated finite group, and for each left cell $c^L\subset c$ let $H_{c^L}\leq G_c$ be the ass…

Let $G_{\mathbb{R}}$ be a real reductive group, let $K_{\mathbb{R}}$ be a maximal compact subgroup, and let $M$ be the Harish-Chandra module of a unipotent representation of…

Let $G_{\bb{R}}$ be a real reductive group, let $K_{\bb{R}}$ be a maximal compact subgroup, let $K$ be its complexification, and let $M$ be the Harish-Chandra module of an irreduci…