On the universal supersingular mod p representations of GL2(F)

JOURNAL OF NUMBER THEORY

卷:141

Article

Schein, Michael M.

关键词: Modular representation;    Mod p local Langlands;    Supersingular representation;   

DOI  :  10.1016/j.jnt.2014.02.002

来源: Elsevier

【 摘 要 】

The irreducible supersingular mod p representations of G = GL(2)(F), where F is a finite extension of Q(p) are the building blocks of the mod p representation theory of G. They all arise as irreducible quotients of certain universal supersingular representations. We investigate the structure of these universal modules in the case when F/Q(p), is totally ramified. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free