Semisimple strata for p-adic classical groups1
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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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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Preface 1 1. Classical groups 4 2. Parabolic induction 10 3. Admissible representations 16 4. Jacquet modules and cuspidal representations 24 5. Composition series of induced representations of SL(2, F ) and GL(2, F ) 34 6. Some examples 39 7. Parabolically induced representations of SL(2, F ) and GL(2, F ) 45 8. Some general consequences 52 9. GL(n, F ) 55 10. GSp(n, F ) 62 11. On the reducibi...
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ژورنال
عنوان ژورنال: Annales Scientifiques de l’École Normale Supérieure
سال: 2002
ISSN: 0012-9593
DOI: 10.1016/s0012-9593(02)01095-9