Cellularity of wreath product algebras and A-Brauer algebras

JOURNAL OF ALGEBRA

卷:389

Article

Geetha, T.¹  Goodman, Frederick M.² 

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

关键词: Cellular algebras;    Wreath products;    Brauer algebras;   

DOI  :  10.1016/j.jalgebra.2013.04.034

来源: Elsevier

【 摘 要 】

A cellular algebra is called cyclic cellular if all cell modules are cyclic. Most important examples of cellular algebras appearing in representation theory are in fact cyclic cellular. We prove that if A is a cyclic cellular algebra, then the wreath product algebras A (sic) (sic)(n) are also cyclic cellular. We also introduce A-Brauer algebras, for algebras A with an involution and trace. This class of algebras includes, in particular, G-Brauer algebras for non-abelian groups G. We prove that if A is cyclic cellular then the A-Brauer algebras D-n(A) are also cyclic cellular. (c) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free