Stable basic sets for finite special linear and unitary groups

被引：16

作者：

Denoncin, David ^{[1
]}

机构：

[1] UPMC Univ Paris 06, Univ Paris Diderot, Sorbonne Univ,CNRS,UMR 7586, Inst Math Jussieu Paris Rive Gauche,Sorbonne Pari, F-75013 Paris, France

来源：

ADVANCES IN MATHEMATICS | 2017年 / 307卷

关键词：

Representation theory; Finite special and unitary groups; Basic sets; DECOMPOSITION NUMBERS;

D O I：

10.1016/j.aim.2016.11.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show, using Deligne-Lusztig theory and Kawanaka's theory of generalised Gelfand-Graev representations, that the decomposition matrix of the special linear and unitary group in non-defining characteristic can be made unitriangular with respect to a basic set that is stable under the action of automorphisms. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：344 / 368

页数：25

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