Dichotomy for generic supercuspidal representations ofG2

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Supercuspidal 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 کامل

Types 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 کامل

Construction 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 کامل

Refined Anisotropic K-types and Supercuspidal Representations

Let G be any connected reductive group defined over a nonarchimedean local field F of residual characteristic p. Under some tameness assumptions on G, we construct families of positive-depth supercuspidal representations of G = G(F ). In particular, we classify (§2.7) the representations of G that contain any anisotropic unrefined minimal K-type (in the sense of MoyPrasad [28]) that satisfies a...

متن کامل

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 کامل

ذخیره 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: Compositio Mathematica

سال: 2011

ISSN: 0010-437X,1570-5846

DOI: 10.1112/s0010437x10005178