Cellularity of generalized Schur algebras via Cauchy decomposition

JOURNAL OF ALGEBRA

卷:572

Article

Axtell, Jonathan D.¹ 

[1] Sungkyunkwan Univ, Suwon 16419, South Korea

关键词: Schur algebras;    Cellular algebras;    Cauchy decomposition;    Wreath products;    Schur-Weyl duality;   

DOI  :  10.1016/j.jalgebra.2020.12.022

来源: Elsevier

【 摘 要 】

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 (sic) S-d are also considered. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free