Functorial properties of generalised Steinberg representations

JOURNAL OF NUMBER THEORY

卷:195

Article

Hauseux, Julien¹  Schmidt, Tobias²  Sorensen, Claus³ 

[1] Univ Lille, Dept Math, Batiment M2, F-59655 Villeneuve Dascq, France

[2] Inst Rech Math Rennes, Campus Beaulieu, F-35042 Rennes, France

[3] UCSD, Dept Math, 9500 Gilman Dr, La Jolla, CA 92093 USA

关键词: Local fields;    Reductive groups;    Generalised Steinberg representations;    Extensions;    Deformations;   

DOI  :  10.1016/j.jnt.2018.06.007

来源: Elsevier

【 摘 要 】

Let G be the F-points of a connected reductive group over a non-archimedean local field F of residue characteristic p and R be a commutative ring. Let P = LU be a parabolic subgroup of G and Q be a parabolic subgroup of G containing P. We study the functor St(Q)(G) taking a smooth R-representation sigma of L which extends to a representation e(G) (sigma) of G trivial on U to the smooth R-representation e(G) (sigma) circle times(R) St(Q)(G) (R) of G where St(Q)(G)(R) is the generalised Steinberg representation. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free