Operations on categories of modules are given by Schur functors

Martin Brandenburg

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arXiv · 1610.02180

Operations on categories of modules are given by Schur functors

Martin Brandenburg

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Abstract

Let $k$ be a commutative $\mathbb{Q}$-algebra. We study families of functors between categories of finitely generated $R$-modules which are defined for all commutative $k$-algebras $R$ simultaneously and are compatible with base changes. These operations turn out to be Schur functors associated to $k$-linear representations of symmetric groups. This result is closely related to Macdonald's classification of polynomial functors.

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Martin Brandenburg. 2016-10-07. Operations on categories of modules are given by Schur functors. https://arxiv.org/abs/1610.02180

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