GAP: Generic character table of Spin_8^+ (q) (B03)

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

The aim of this project is the determination and investigation of the generic character table of Spin_8^+ (q). Methods include the use of Lusztig's theory, for example the values of generalised Green functions, as well as ad hoc arguments relying on properties of character tables. The results shall be used to determine the action of outer automorphisms on the ordinary characters, thus contributing to the verification of local-global conjectures for this series of groups. In the course of this project we also intend to improve the software support for generic character tables.

• 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: Dr. Frank Lübeck; Professor Dr. Gunter Malle