2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67467We obtain a presentation by generators and relations for generalized Schur algebras and their quantizations. This extends earlier results obtained in the type A case. The presentation is compatible with Lusztig's modified form of a quantized enveloping algebra. We show that generalized Schur algebras inherit a canonical basis from the modified form of the quantized enveloping algebra, that this gives them a cellular structure, and thus they are quasihereditary over a field.To appear in Representation TheoryQuantum Algebra17B37, 16W35, 81R50Presenting generalized q-Schur algebrastext