18 citations · 24 across the 14 of their papers we have counts for
6 papers · 1 filter
Standard modules and intertwining operators for reductive p-adic groups
Maarten Solleveld
Consider a reductive group G over a non-archimedean local field. The Galois group Gal(C/Q) acts naturally on the category of smooth complex G-representations. We prove that this ac…
Group algebras of reductive -adic groups, their representations and their noncommutative geometry
Maarten Solleveld
This is a survey paper about representation theory and noncommutative geometry of reductive p-adic groups G. The main focus points are: 1. The structure of the Hecke algebra H(G),…
Rationality properties of complex representations of reductive p-adic groups
David Kazhdan, Maarten Solleveld, Yakov Varshavsky
For a reductive group G over a non-archimedean local field, we compare smooth representations over C with smooth representations over Qbar (an algebraic closure of Q). We show that…
Endoscopy for representations of disconnected reductive groups over finite fields
Maarten Solleveld
Let G be the group of rational points of a connected reductive group over a finite field. Based on work of Lusztig and Yun, we make the Jordan decomposition for irreducible G-repre…
On depth-zero characters of p-adic groups
Maarten Solleveld, Yujie Xu
We show new properties of the Langlands correspondence for arbitrary tori over local fields. Furthermore, we give a detailed analysis of depth-zero characters of reductive p-adic g…
Intertwining operators for representations of covering groups of reductive -adic groups
Janet Flikkema, Maarten Solleveld
Let be a covering group of a reductive -adic group. We study intertwining operators between parabolically induced representations of and prove that they satisfy certain…