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.

中文翻译：

---

通过柯西分解的广义 Schur 代数的元胞性

我们描述了 Hashimoto 和 Kurano 对分次幂代数的柯西滤波的推广。然后使用该过滤为与任意元胞代数相关联的广义 Schur 代数提供元胞结构。还考虑了对花圈积代数 $A \wr \mathfrak{S}_d$ 的细胞性的应用。