Stability of character sums for positive-depth, supercuspidal representations
نویسندگان
چکیده
منابع مشابه
The Unicity of Types for Depth-zero Supercuspidal Representations
We establish the unicity of types for depth-zero supercuspidal representations of an arbitrary p-adic group G, showing that each depth-zero supercuspidal representation of G contains a unique conjugacy class of typical representations of maximal compact subgroups of G. As a corollary, we obtain an inertial Langlands correspondence for these representations via the Langlands correspondence of De...
متن کاملSupercuspidal L-packets of positive depth and twisted Coxeter elements
The local Langlands correspondence is a conjectural connection between representations of groups G(k) for connected reductive groups G over a p-adic field k and certain homomorphisms (Langlands parameters) from the Galois (or WeilDeligne group) of k into a complex Lie group Gwhich is dual, in a certain sense, to G and which encodes the splitting structure of G over k. More introductory remarks ...
متن کاملTypes for supercuspidal representations of GL(N)
We recall here the basic definitions needed to construct simple types, with no proofs given of the many claims that we make. For a much more detailed account, see [1] and the many other sources cited therein. Note that most of the statements made here could be proven without much difficulty for the reader who has the time and inclination. Any statements requiring a much more elaborate proof are...
متن کاملConstruction of Tame Supercuspidal Representations
The notion of depth is defined by Moy-Prasad [MP2]. The notion of a generic character will be defined in §9. When G = GLn or G is the multiplicative group of a central division algebra of dimension n with (n, p) = 1, our generic characters are just the generic characters in [My] (where the definition is due to Kutzko). Moreover, in these cases, our construction literally specializes to Howe’s c...
متن کاملSupercuspidal Representations: an Exhaustion Theorem
Let k be a p-adic field of characteristic zero and residue characteristic p. Let G be the group of k-points of a connected reductive group G defined over k. In [38], Yu gives a fairly general construction of supercuspidal representations of G in a certain tame situation. In this paper, subject to some hypotheses on G and k, we prove that all supercuspidal representations arise through his const...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2018
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2015-0094