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.
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页码：344 / 368
页数：25
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