2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77310We introduce a generalized version of a q-Schur algebra (of parabolic type) for arbitrary Hecke algebras over extended Weyl groups. We describe how the decomposition matrix of a finite group with split BN-pair, with respect to a non-describing prime, can be partially described by the decomposition matrices of suitably chosen q-Schur algebras. We show that the investigated structures occur naturally in finite groups of Lie type.47 pagesQuantum AlgebraRepresentation Theory20C20, 20C33, 20G05, 20G40text