Semisimple characters for p-adic classical groups
نویسندگان
چکیده
منابع مشابه
Semisimple characters for p-adic classical groups
Let G be a unitary, symplectic or orthogonal group over a non-archimedean local field of residual characteristic different from 2, considered as the fixed point subgroup in a general linear group G̃ of an involution. Following [7] and [13], we generalize the notion of a semisimple character for G̃ and for G. In particular, following the formalism of [4], we show that these semisimple characters h...
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We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu’s construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu’s construction, Fourier transforms of orbital integr...
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Let k be a number field, Ω be a finite symmetric subset of GLn0 (k), and Γ = 〈Ω〉. Let C(Γ) := {p ∈ Vf (k)| Γ is a bounded subgroup of GLn0 (kp)}, and Γp be the closure of Γ in GLn0 (kp). Assuming that the Zariski-closure of Γ is semisimple, we prove that the family of left translation actions {Γ y Γp}p∈C(Γ) has uniform spectral gap. As a corollary we get that the left translation action Γ y G h...
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ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2005
ISSN: 0012-7094
DOI: 10.1215/s0012-7094-04-12714-9