21 citations · 195 across the 53 of their papers we have counts for
46 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…
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…
Hecke algebras and local Langlands correspondence for non-singular depth-zero representations
Maarten Solleveld, Yujie Xu
Let G be a connected reductive group over a non-archimedean local field. We say that an irreducible depth-zero (complex) G-representation is non-singular if its cuspidal support is…