论文标题

通过Cauchy分解的广义Schur代数的细胞性

Cellularity of generalized Schur algebras via Cauchy decomposition

论文作者

Axtell, Jonathan D.

论文摘要

我们描述了桥本和库拉诺(Kurano)的库奇(Cauchy)过滤的概括。然后,该过滤用于为与任意细胞代数相关的广义SCHUR代数提供细胞结构。还考虑了花圈产品代数$ a \ wr \ mathfrak {s} _d $的应用程序。

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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