Cellular structure of wreath product algebras

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:224

Article

Green, Reuben¹ 

[1] Univ Kent, Sch Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England

关键词: Wreath products;    Cellular algebras;    Iterated inflation;   

DOI  :  10.1016/j.jpaa.2019.06.012

来源: Elsevier

【 摘 要 】

We apply the method of iterated inflations to show that the wreath product of a cellular algebra with a symmetric group is cellular, and obtain descriptions of the cell and simple modules together with a semisimplicity condition for such wreath products. (C) 2019 The Author. Published by Elsevier B.V.

【 授权许可】

Free