1 citations · 2 across the 2 of their papers we have counts for
6 papers
On irreps of a Hecke algebra of a non-reductive group
David Kazhdan, Alexander Yom Din
We study irreducible representations of the Hecke algebra of the pair where is a local non-Archimedean fie…
A Paley-Wiener theorem for spherical -adic spaces and Bernstein morphisms
Alexander Yom Din
Let be (the rational points of) a connected reductive group over a local non-archimedean field . In this article we formulate and prove a property of an -spherical homoge…
Second adjointness for tempered admissible representations of a real group
Alexander Yom Din
We study second adjointness in the context of tempered admissible representations of a real reductive group. Compared to a recent result of Crisp and Higson, this generalizes from…
On parabolic restriction of perverse sheaves
Roman Bezrukavnikov, Alexander Yom Din
We prove exactness of parabolic restriction and induction functors for conjugation equivariant sheaves on a reductive group generalizing a well known result of Lusztig who establis…
On the Deligne-Lusztig involution for character sheaves
Alexander Yom Din
For a reductive group G, we study the Drinfeld-Gaitsgory functor of the category of conjugation-equivariant D-modules on G. We show that this functor is an equivalence of categorie…
An analog of the Deligne-Lusztig duality for -modules
Dennis Gaitsgory, Alexander Yom Din
Drinfeld suggested the definition of a certain endo-functor, called the pseudo-identity functor, on the category of D-modules on an algebraic stack. We extend this definition to an…