Table algebras with multiple P-polynomial structures

被引：0

作者：

Bangteng Xu

机构：

[1] Eastern Kentucky University,Department of Mathematics and Statistics

来源：

Journal of Algebraic Combinatorics | 2006年 / 23卷

关键词：

Table algebras; Covering numbers; Association schemes; Bose-Mesner algebras; P-polynomial structures;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Using covering numbers we prove that a standard real integral table algebra (A, B) with |B| ≥ 6 has a P-polynomial structure with respect to every b ≠ 1 in B if and only if 2|B|-1 is prime and (A, B) is exactly isomorphic to the Bose-Mesner algebra of the association scheme of the ordinary (2|B|-1)-gon. Then we present an example showing that this result is not true if |B| ≤ 5.

引用

页码：377 / 393

页数：16