Imprimitive representations of quasisimple finite reductive groups (A03)
Imprimitive representations of quasisimple finite reductive groups (A03)
批准号:
324786107
负责人:
金额:
$0.0万
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
项目状态:
已结题
起止时间:
2016-12-31 至 2019-12-31
中文摘要
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。
英文摘要
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.
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