On Quotients of Hom-Functors and Representations of Finite General Linear Groups II,

This is a second article on quotients of Hom-functors and their applications to the representation theory of finite general linear groups in a nondescribing characteristic. After some general results on quotients of Hom-functors and their connection to the Harish–Chandra theory these constructions are used to obtain a full classification of the ℓ-modular irreducible representations ofGLn(q) for some prime powerqwhich is not divisible by the prime ℓ and to explain some facts on their Harish–Chandra series and decomposition numbers.