Decomposition of products in nilpotent table algebras

JOURNAL OF ALGEBRA

卷:323

Article

Blau, Harvey I.

关键词: Table algebras;    p-groups;    Conjugacy classes;    Irreducible characters;    Fusion rule algebras;    Association schemes;   

DOI  :  10.1016/j.jalgebra.2009.09.035

来源: Elsevier

【 摘 要 】

Two theorems on the decomposition of products in nilpotent commutative table algebras are established. This generalizes several results of Adan-Bante on the decomposition of products of irreducible characters and of conjugacy classes of finite p-groups, and extends these results to fusion rule algebras and association schemes. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free