Locally Quadratic Modules and Minuscule Representations

被引：0

作者：

Adrien Deloro

机构：

[1] Université Pierre et Marie Curie,Institut de Mathématiques de Jussieu – Paris Rive Gauche

来源：

Algebras and Representation Theory | 2017年 / 20卷

关键词：

Minuscule representations; Quadratic modules; Chevalley groups; Lie rings; 20G15; 20C99; 17B45;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a new, geometric proof of a theorem by Timmesfeld showing that for simple Chevalley groups, abstract modules where all roots act quadratically are direct sums of minuscule representations. Our proof is uniform, treats finite and infinite fields on an equal footing, and includes Lie rings.

引用

页码：977 / 1005

页数：28

共 50 条

[1] Locally Quadratic Modules and Minuscule Representations
Deloro, Adrien
ALGEBRAS AND REPRESENTATION THEORY, 2017, 20 (04) : 977 - 1005
[2] Weil Representations of Finite Quadratic Modules
不详
JACOBI FORMS, FINITE QUADRATIC MODULES AND WEIL REPRESENTATIONS OVER NUMBER FIELDS, 2015, 2130 : 19 - 64
[3] Weil representations associated with finite quadratic modules
Fredrik Strömberg
Mathematische Zeitschrift, 2013, 275 : 509 - 527
[4] Weil representations associated with finite quadratic modules
Stroemberg, Fredrik
MATHEMATISCHE ZEITSCHRIFT, 2013, 275 (1-2) : 509 - 527
[5] Combinatorics of Minuscule Representations
Stacho, L. L.
ACTA SCIENTIARUM MATHEMATICARUM, 2014, 80 (3-4): : 702 - 704
[6] Minuscule representations and Panyushev conjectures
Dong, Chaoping
Weng, Guobiao
SCIENCE CHINA-MATHEMATICS, 2018, 61 (10) : 1759 - 1774
[7] Minuscule representations and Panyushev conjectures
Chaoping Dong
Guobiao Weng
Science China Mathematics, 2018, 61 : 1759 - 1774
[8] The restriction of minuscule representations to parabolic subgroups
Parker, C
Röhrle, G
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2003, 135 : 59 - 79
[9] Small representations and minuscule Richardson orbits
Reeder, M
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2002, 2002 (05) : 257 - 275
[10] Classifications of Γ-colored minuscule posets and P-minuscule Kac-Moody representations
Strayer, Michael C.
AUSTRALASIAN JOURNAL OF COMBINATORICS, 2021, 81 : 412 - 446

← 1 2 3 4 5 →