Remarks on modular representations of finite groups of Lie type in non-defining characteristic

Source abstract

Let G G be a finite group of Lie type and ℓ \ell be a prime which is not equal to the defining characteristic of G G . In this note we discuss some open problems concerning the ℓ \ell -modular irreducible representations of G G . We also establish a strengthening of earlier results on the classification of the ℓ \ell -modular principal series representations of G G .