Generators for the representation rings of certain wreath products

JOURNAL OF ALGEBRA

卷:445

Article

Harman, Nate¹ 

[1] MIT, Cambridge, MA 02139 USA

关键词: Representation theory of finite groups;    Representation theory in complex rank;    Representation rings;    Wreath products;   

DOI  :  10.1016/j.jalgebra.2015.09.003

来源: Elsevier

【 摘 要 】

Working in the setting of Deligne categories, we generalize a result of Mann that hooks generate the representation ring of symmetric groups to wreath products of symmetric groups with a fixed finite group or Hopf algebra. In particular, when we take the finite group to be cyclic order 2 we recover a conjecture of Mann about Coxeter groups in type B. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free