Parabolic induction and Hecke modules in characteristic p for p-adic GLn

被引：18

作者：

Ollivier, Rachel ^{[1
]}

机构：

[1] Univ Versailles St Quentin, Lab Math Versailles, F-78035 Versailles, France

来源：

ALGEBRA & NUMBER THEORY | 2010年 / 4卷 / 06期

关键词：

mod p representations of Hecke algebras and p-adic groups; parabolic induction; integral Bernstein presentation; integral Satake transform; PRINCIPAL SERIES; REPRESENTATIONS; GL(2)(F); ALGEBRA; IWAHORI;

D O I：

10.2140/ant.2010.4.701

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify the simple supersingular modules for the pro-p-Iwahori Hecke algebra H of p-adic GL(n) by proving a conjecture by Vigneras about a mod p numerical Langlands correspondence on the side of the Hecke modules. We define a process of induction for H-modules in characteristic p that reflects the parabolic induction for representations of the p-adic general linear group and explore the semisimplification of the standard nonsupersingular H-modules in light of this process.

引用

页码：701 / 742

页数：42

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