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The Adjoints of the Schur Functor

Published 14 Jan 2016 in math.RT | (1601.03513v2)

Abstract: We show that the left and right adjoint of the Schur functor can be expressed in terms of the monoidal structure of strict polynomial functors. Using this result we give a necessary and sufficient condition for when the tensor product of two simple strict polynomial functors is again simple.

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