Radicals of weight one blocks of Ariki-Koike algebras
Radicals of weight one blocks of Ariki-Koike algebras
复制标题
Ariki-Koike 代数的权重根式之一
DOI：
10.1080/00927872.2020.1746323
复制
发表时间：
2020
影响因子：
0.7
通讯作者：
Xu Dashu
中科院分区：
文献类型：
--
作者：
Li Yanbo;Xu Dashu
Let K be a field and q∈K,q≠0,1. Let Hn(q,Q) be an Ariki–Koike algebra, where the cyclotomic parameter Q=(Q1,Q2,⋯,Qr)∈Kr with r≥2, Qi=qai,ai∈Z. For a weight one block B of Hn(q,Q), we prove in this article that radB=I, where I is the nilpotent ideal constructed for a symmetric cellular algebra [Radicals of symmetric cellular algebras, Colloq. Math. 133 (2013) 67–83]. We also give some applications of this result.
