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Polynomial representations of GL(n) and Schur-Weyl duality

Published 4 Nov 2013 in math.RT and math.RA | (1311.0820v1)

Abstract: 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.

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