ON THE GENERALISED SPRINGER CORRESPONDENCE FOR GROUPS OF TYPE E8

被引：2

作者：

Hetz, Jonas ^{[1
]}

机构：

[1] Rhein Westfal TH Aachen, Lehrstuhl Algebra & Zahlen, Pontdriesch 14-16, D-52062 Aachen, Germany

来源：

REPRESENTATION THEORY | 2023年 / 27卷

关键词：

(Finite) reductive groups; character sheaves; generalised Springer correspondence; CHARACTER SHEAVES; REDUCTIVE GROUPS; FINITE-GROUPS; WEYL GROUP; REPRESENTATIONS; ELEMENTS; ORBITS; CHEVIE;

D O I：

10.1090/ert/661

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We complete the determination of the generalised Springer correspondence for connected reductive algebraic groups, by proving a conjecture of Lusztig on the last open cases which occur for groups of type E-8.

引用

页码：973 / 999

页数：27

共 39 条

[1] Beilinson A. A., 1982, Analysis and topology on singular spaces, I (Luminy, 1981), Asterisque, V100, P5
[2] Carter R.W., 1985, Pure Appl. Math.
[3] CURTIS C. W., 1981, METHODS REPRESENTATI, VI
[4] REPRESENTATIONS OF REDUCTIVE GROUPS OVER FINITE-FIELDS
DELIGNE, P
LUSZTIG, G
[J]. ANNALS OF MATHEMATICS, 1976, 103 (01) : 103 - 161
[5] Deligne P., 1980, PUBL MATH-PARIS, V52, P137
[6] DIGNE F, 1990, ASTERISQUE, P113
[7] Digne F., 2020, LONDON MATH SOC STUD, V95
[8] EFTEKHARI M, 1994, CR ACAD SCI I-MATH, V318, P305
[9] 'Good' elements of finite Coxeter groups and representations of Iwahori-Hecke algebras
Geck, M
Michel, J
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1997, 74 : 275 - 305
[10] Geck M, 2020, CAM ST AD M, V187, P1, DOI 10.1017/9781108779081

← 1 2 3 4 →