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The universal enveloping algebra U(gl_n) of gl_n was realized in [Ch. 6]DDF using affine Schur algebras. In particular some explicit multiplication formulas in affine Schur algebras were derived. We use these formulas to study the structure of affine Schur algebras. In particular, we give a presentation of the affine Schur algebra S_(n,r)_ Q.arXiv:1508.01920v1 fatcat:whza3fk2k5fjjhtd3c73dn4o2a