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.

该项目的目的是对拟简单有限还原群和密切相关群的原始不可约表示进行分类。分类包括确定表示的一些不变量，例如它们的广义 Frobenius-Schur 指标，或者对于正特征的表示，确定它们的最小分裂域。该项目的动机是描述有限经典群的最大子群。