On semisimple ℓ -modular Bernstein-blocks of a p -adic general linear group
نویسندگان
چکیده
منابع مشابه
On the Steinberg character of a semisimple p-adic group
The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters.
متن کاملON THE CHARACTERS OF UNIPOTENT REPRESENTATIONS OF A SEMISIMPLE p-ADIC GROUP
Let G be a semisimple almost simple algebraic group defined and split over a nonarchimedean local field K and let V be a unipotent representation of G(K) (for example, an Iwahori-spherical representation). We calculate the character of V at compact very regular elements of G(K).
متن کاملON THE STEINBERG CHARACTER OF A SEMISIMPLE p-ADIC GROUP Ju-Lee Kim and George Lusztig
1.1. Let K be a nonarchimedean local field and let K be a maximal unramified field extension of K. Let O (resp. O) be the ring of integers of K (resp. K) and let p (resp. p) be the maximal ideal of O (resp. O). Let K = K −{0}. We write O/p = Fq, a finite field with q elements, of characteristic p. Let G be a semisimple almost simple algebraic group defined and split over K with a given O-struct...
متن کاملSUPER-APPROXIMATION: p-ADIC SEMISIMPLE CASE
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...
متن کاملSemisimple 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...
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 of Number Theory
سال: 2013
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2013.04.012