Generalised Gelfand-Graev representations, unipotent classes and nilpotent orbits (A02)

• Subject Area: Mathematics
• Term: from 2017 to 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 286237555

The aim of the project is the development of a theory of generalised Gelfand-Graev characters for finite groups of Lie type in bad characteristic. In particular, we aim at obtaining explicit formulas for the candidate characters defined in the first part of our project. These should then be applied to the solution of open problems in the character theory of these groups, like character values on unipotent elements and properties of decomposition matrices in non-defining characteristic, like uni-triangularity.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 195: Symbolic Tools in Mathematics and their Application
• Applicant Institution: Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau
• Project Heads: Professor Dr. Meinolf Geck; Professor Dr. Gunter Malle