Imprimitive representations of quasisimple finite reductive groups (A03)

本课题的目的是分类拟单有限约群和密切相关群的非原初不可约表示。分类包括表征的一些不变量的确定，例如它们的广义Frobenius-Schur指标，或者对于正特征的表征，它们的最小分裂域。该项目的动机是由程序来描述有限经典群的极大子群。

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.