对称群标准表示矩阵计算新方法

高等学校化学学报 ›› 1992, Vol. 13 ›› Issue (8): 1122.

对称群标准表示矩阵计算新方法

吴玮, 张乾二

厦门大学化学系, 物理化学研究所, 厦门, 361005

收稿日期:1992-03-23 出版日期:1992-08-24 发布日期:1992-08-24
通讯作者: 吴玮
基金资助:
国家自然科学基金

A New Technique for Evaluating the Standard Representation Matrices of Symmetric Groups

WU Wei, ZHANG Qian-Er

Department of Chemistry and Institute of Physical Chemistry, Xiamen University, Xiamen, 361005

Received:1992-03-23 Online:1992-08-24 Published:1992-08-24

摘要/Abstract

摘要： 在多体问题的对称群方法中,群表示矩阵的计算是关键性问题。Young-Yamanouchi规则给出了标准正交表示的计算方法,然而该法相当繁琐,颇难使用,本文将2列Young表标准表示的计算方法[1]推广到任意不可约表示,给出对称群标准表示矩阵计算新方法.

关键词: 对称群, 标准表示, 群论

Abstract: A new technique for evaluating the standard representation matrices of symmetric groups is presented.A representation matrix for an arbitrary irreducible representation is given as the product of three matrices,where two of them are in triangular form,and are determined by the irreducible representation group,the other is made up of the elements which equal 1,0,or -1 according to some simple rules.

Key words: Symmetric group, Standard representation, Group theory

TrendMD:

吴玮, 张乾二. 对称群标准表示矩阵计算新方法. 高等学校化学学报, 1992, 13(8): 1122.

WU Wei, ZHANG Qian-Er . A New Technique for Evaluating the Standard Representation Matrices of Symmetric Groups. Chem. J. Chinese Universities, 1992, 13(8): 1122.