Decomposition matrices for groups of Lie type in non-defining characteristic

Olivier Dudas (1, 2) , Gunter Malle (3)

1 INSMI-CNRS - Institut National des Sciences Mathématiques et de leurs Interactions - CNRS Mathématiques
2 UFR Mathématiques UPCité - UFR Mathématiques [Sciences] - Université Paris Cité
3 TU Kaiserslautern - Technische Universität Kaiserslautern

We determine approximations to the decomposition matrices for unipotent $\ell$-blocks of several series of finite reductive groups of classical and exceptional type over $\FF_q$ of low rank in non-defining good characteristic~$\ell$.

Domaines: Mathématiques [math]

Olivier Dudas, Gunter Malle. Decomposition matrices for groups of Lie type in non-defining characteristic. Memoirs of the American Mathematical Society, In press. ⟨hal-03060318⟩