Generic representations of finite general linear groups in nondescribing characteristic

被引：0

作者：

Djament, Aurelien ^{[1
]}

Gaujal, Thomas ^{[2
]}

机构：

[1] Univ Sorbonne Paris Nord, Lab Anal Geometrie & Applicat,Inst Galilee, CNRS, UMR7539, 99 Ave Jean Baptiste Clement, F-93430 Villetaneuse, France

[2] Univ Lille, Lab Paul Painleve UMR8524, Cite Sci bat M2, F-59655 Villeneuve Dascq, France

来源：

BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2024年 / 152卷 / 02期

关键词：

ALGEBRAS; MODULES;

D O I：

10.24033/bsmf.2890

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study generic representations of general linear groups over a finite ring R with coefficients in a field k in which the cardinality of R is invertible, that is functors from finitely-generated projective R-modules to k-vector spaces. We obtain especially a classification of such simple representations, what allows to prove a conjecture of Djament-Touz & eacute;-Vespa on dimensions taken by such a functor.

引用

页数：62

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