SO4 blocks

Block Sizes in Compact Inner Class:
         SO(4)  SO*(4)+  SO*(4)-  SO(2,2)
SO(4)    0      0        0        1
SO*(4)+  0      0        1        3
SO*(4)-  0      1        0        3
SO(2,2)  1      3        3        6

Block Sizes in Unequal Rank Inner Class:
         SO(3,1)
SO(3,1)  2 

