Abstract
We will give an overview of current problems and recent results in the Representation theory of finite groups of Lie type in non-defining characteristic. These concern the block theory, the shape and precise form of decomposition matrices as well as the application to various conjectures in the field.
Talk
If a group is simple non-abelian, then it is alternating, of Lie type and asporadic.
Keywords
- Ordinary character
- Generalized character
- Lustig series
- Jordan decomposition
- Irreducible character
- Brauer character
- Unipotent character
- Levi subgroup
- Hecke algebra
- Central character
- McKay conjecture
Literature
- McKay 1972
- Deligne, Lustig 1976
- Lustig 1984, 1988
- Geck 2024
- Brauer, Michel 1989
- Kerzen, Malle 2023
- Brauer, Malle, Michel 1993
- Brauer 1955