On table algebras, c-algebras, and applications to finite group theory ∗
On table algebras, c-algebras, and applications to finite group theory ∗
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DOI：
10.1080/00927879108824303
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发表时间：
1991
影响因子：
0.7
通讯作者：
Z. Arad;Elsa Flsman
中科院分区：
文献类型：
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作者：
Z. Arad;Elsa Flsman
Mtroductipn.最近，第一作者和H. Blau在CAB 1中开发了一种新的表代数理论，这一概念由他们引入如下：设B=（bl= IA，b2，.，bk）是复数域cC上的有限维结合交换代数A的基，其单位元为IA.则（A，B）是一个表代数（而B是一个表基），如果下列成立：k 1.1 I）对于所有l，j，m，blbj= C bijmbm，其中bijm是非负的m= l真实的数
Mtroductipn. Recently, the first author and H. Blau developed in CAB1 a new theory of table algebras, a concept introduced by them as follows:.., Deflnlt, on: LAB] Let B=(bl= IA, b2,..., bk) be a basis of a finite dimensional, associative and commutative algebra A over the complex field cC, withidentity element IA. Then (A, B) is a table algebra (and B is a table basis) if the following hold: k 1.1 I) For all l, j, m, blbj= C bijmbm with bijm a nonnegative m= l real number