Dichotomy for generic supercuspidal representations ofG2
نویسندگان
چکیده
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...
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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...
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ژورنال
عنوان ژورنال: Compositio Mathematica
سال: 2011
ISSN: 0010-437X,1570-5846
DOI: 10.1112/s0010437x10005178