Decomposition matrices (A05)

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

The main aim of the project is the determination of the l-modular decomposition matrices of blocks of finite exceptional groups of Lie type in non-defining good characteristic for large primes l. The methods are of a theoretical as well as computational nature, and include Harish-Chandra theory, Gelfand-Graev characters, and projective modules in intersection cohomology groups. The results shall be applied to verify instances of famous open conjectures in modular representation theory, in particular Navarro's Galois-McKay conjecture. The decomposition matrices shall be made publically available in electronic form.

• 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. Gunter Malle