2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60022We give a presentation of Schur algebras (over the rational number field) by generators and relations, in fact a presentation which is compatible with Serre's presentation of the universal enveloping algebra of a simple Lie algebra. In the process we find a new basis for Schur algebras, a truncated form of the usual PBW basis. We also locate the integral Schur algebra within the presented algebra as the analogue of Kostant's Z-form, and show that it has an integral basis which is a truncated version of Kostant's basis.22 pages; submitted to Algebras and Representation TheoryRepresentation TheoryRings and Algebras16S30; 16P10Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2)text