Polynomial representations of $$\mathrm{GL }(n)$$ GL ( n ) and Schur–Weyl duality

Krause H. Polynomial representations of $$\mathrm{GL }(n)$$ GL ( n ) and Schur–Weyl duality. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry. 2015;56(2):769-773.Polynomial representations of general linear groups and modules over Schur algebras are compared. We work over an arbitrary commutative ring and show that Schur–Weyl duality is the key for an equivalence between both categories