Imprimitive representations of quasisimple finite reductive groups (A03)

• Subject Area: Mathematics
• Term: from 2017 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

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.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Head: Professor Dr. Gerhard Hiß