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arXiv · 2002.02932

Cellularity of generalized Schur algebras via Cauchy decomposition

Jonathan D. Axtell
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Abstract

We describe a generalization of Hashimoto and Kurano's Cauchy filtration for divided powers algebras. This filtration is then used to provide a cellular structure for generalized Schur algebras associated to an arbitrary cellular algebra. Applications to the cellularity of wreath product algebras $A \wr \mathfrak{S}_d$ are also considered.

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Jonathan D. Axtell. 2020-02-07. Cellularity of generalized Schur algebras via Cauchy decomposition. https://arxiv.org/abs/2002.02932

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