Imprimitive representations of quasisimple finite reductive groups (A03)

拟简单有限还原群的原始表示 (A03)

• 批准号: 324786107
• 金额: --
• 依托单位: Lehrstuhl für Algebra und Zahlentheorie
• 依托单位国家: 德国
• 项目类别: CRC/Transregios
• 财政年份: 2017
• 资助国家: 德国
• 起止时间: 2016-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/324786107?language=en
• 关键词: Imprimitive; representations; quasisimple; finite; reductive

The aim of this project is the classification of the imprimitive irreducible representations of quasisimple finite reductive groups, and closely related groups. The classification includes the determination of some invariants of the representations, for example their generalized Frobenius-Schur indicators or, for representations in positive characteristic, their smallest splitting fields. The project is motivated by the program to describe the maximal subgroups of the finite classical Groups.

这个项目的目的是分类的imprimitive不可约表示的quasisimple有限约化群，密切相关的群体。分类包括确定一些不变量的表示，例如他们的广义Frobenius-Schur指标，或表示在积极的特点，他们的最小分裂领域。该项目的动机是程序来描述有限经典群的极大子群。