Existence of GL2 invariant norms

被引：5

作者：

De Ieso, Marco ^{[1
]}

机构：

[1] Univ Paris 11, F-91405 Orsay, France

来源：

JOURNAL OF NUMBER THEORY | 2013年 / 133卷 / 08期

关键词：

MODULAR-REPRESENTATIONS; INTEGRAL STRUCTURES;

D O I：

10.1016/j.jnt.2013.02.004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [8] Breuil and Schneider (2007) stated a conjecture on the equivalence between the existence of invariant norms on certain locally algebraic representations of GLd(F) and the existence of certain de Rham representations of Gal(Q-p/F), where F is a finite extension of Qp. In this paper we prove that in the case d = 2 and under some conditions, the existence of certain admissible filtrations implies the existence of invariant norms. © 2013 Elsevier Inc.

引用

页码：2729 / 2755

页数：27

共 27 条

[1] IRREDUCIBLE MODULAR-REPRESENTATIONS OF GL2 OF A LOCAL-FIELD [J].