1 0 (41,42,43,u4) 0 0 0 0 0 u=e+a u=b+c (41,42,43,u4) (4,42,-43,-u4)(42,41,44,43) (42,41,-u4,-43) us=e-a 44=b-C D(R) D(R)= 方块对角化 0 D(R和{D(R均构成群G={R的表示。 1 2 3 4 ( , , , ) u u u u 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 2 3 4 u e a u b c u e a u b c 1 2 3 4 ( , , , ) u u u u 1 2 3 4 ( , , , ) u u u u 2 1 4 3 ( , , , ) u u u u 2 1 4 3 ( , , , ) u u u u ' ( ) 0 ( ) " 0 ( ) D R D R D R 方块对角化 ' D R( ) " 和 D R( ) 均构成群 G R 的表示