摘要
阐述了一种构造正交幂等系统的算法.借助计算机穷举出所有可能的对称剖分,并利用多个矩阵同时对角化的技术,得到了许多定义在有限群的对称剖分上的正交幂等系统.构成这些正交幂等系统的类对称算符,是构造对称函数的基础工具之一,其在对称设计中扮演着重要的角色.
An algorithm for constructing systems of orthogonal idempotents was expounded. By exhausting the symmetry partition and taking full advantage of simultaneous diagonalization to several matrices, we got some systems of orthogonal idempotents. The class idempotent function composing systems of orthogonal idempotents is one of the fundamental tools in constructing symmetry functions and it plays an important role in symmetry designs.
出处
《华东师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2008年第5期51-58,65,共9页
Journal of East China Normal University(Natural Science)
基金
国家自然科学基金(10571045)
关键词
有限群
类对称算符
正交幂等系统
对称函数
对称设计
finite groups
class idempotent function
systems of orthogonal idempotents
symmetry functions
symmetry designs
