用MATLAB语言解决双群不可约表示问题

Solution of multiplication table of double groups by MATLAB language in expression of impartibility

双群的乘法表是群不可约表示的重要内容,但双群的乘法表往往元素众多,且涉及到二维矩阵的乘法问题,手工计算往往较繁杂,还要寻找匹配元素。作者利用MATLAB语言针对Oh群的乘法表编写了一套程序,能够自动查找数据库中的匹配元素,并显示出源矩阵,相乘矩阵与匹配矩阵。经检验,程序运行稳定,结果准确可靠,很好的解决了上述问题。该程序稍作修改可推广到其它群表示矩阵乘法表,也可用于某些数据库元素的自动查找,匹配问题。

The multiplication table of double groups is an important content in the expression of Impartibility.. Double group sometimes has a lot of items and the items are not 1-D,so it is difficult to compute the multiplication table.A matlab program compiled by author could resolves the table of Oh group easily .This programme runs steadily in testing time, and the result is accurate.. This program could be popularized to the multiplication table in other groups.