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arXiv · 2011.12357

Young Modules and Schur algebras

Moriah Elkin·Peter Webb
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Abstract

We compute explicitly the submodule structure of the Young modules for symmetric groups $S_n$ over fields of characteristic 2, when $n \le 7$. We use this information to compute the submodule structure of indecomposable projectives for the corresponding Schur algebras when $n \le 5$, and we give give partial information when n=6,7, including the Gabriel quiver and the structure of the Weyl modules. We resolve all Morita equivalences between blocks of these algebras.

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Moriah Elkin, Peter Webb. 2020-11-24. Young Modules and Schur algebras. https://arxiv.org/abs/2011.12357

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