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.

该项目的目的是对准有限还原群和密切相关的组的不可约性表示的分类。该分类包括确定某些表示形式的不变性，例如它们的广义frobenius-schur指标，或者，对于积极特征的表示，它们的分裂场最小。该项目的动机是由计划描述有限古典群体的最大亚组的动机。