character -- Determines the character of a compostion of schur functors applied to the representation of GL(V) on V

i1 : character({{1,1,1},{2}},4)--The GL(4) action on the grassmannian of 3-dimensional subspaces of quadrics in four variables

      3 3    4         3 2       2 3        4       3   2     2 2 2       3 2    3 3     2   3       2 3    3 3        4    4    
o1 = x x  + x x x  + 2x x x  + 2x x x  + x x x  + 2x x x  + 2x x x  + 2x x x  + x x  + 2x x x  + 2x x x  + x x  + x x x  + x x x 
      0 1    0 1 2     0 1 2     0 1 2    0 1 2     0 1 2     0 1 2     0 1 2    0 2     0 1 2     0 1 2    1 2    0 1 2    0 1 3
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         3 2       2 3        4      4         3           2 2           3        4         3 2       2   2         2 2    
     + 2x x x  + 2x x x  + x x x  + x x x  + 4x x x x  + 5x x x x  + 4x x x x  + x x x  + 2x x x  + 5x x x x  + 5x x x x  +
         0 1 3     0 1 3    0 1 3    0 2 3     0 1 2 3     0 1 2 3     0 1 2 3    1 2 3     0 2 3     0 1 2 3     0 1 2 3  
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       3 2       2 3           3       2 3        4        4       3   2     2 2 2       3 2     3   2     2     2       2   2  
     2x x x  + 2x x x  + 4x x x x  + 2x x x  + x x x  + x x x  + 2x x x  + 2x x x  + 2x x x  + 2x x x  + 5x x x x  + 5x x x x  +
       1 2 3     0 2 3     0 1 2 3     1 2 3    0 2 3    1 2 3     0 1 3     0 1 3     0 1 3     0 2 3     0 1 2 3     0 1 2 3  
     ----------------------------------------------------------------------------------------------------------------------------
       3   2     2 2 2         2 2     2 2 2       3 2       3 2    3 3     2   3       2 3    3 3     2   3           3  
     2x x x  + 2x x x  + 5x x x x  + 2x x x  + 2x x x  + 2x x x  + x x  + 2x x x  + 2x x x  + x x  + 2x x x  + 4x x x x  +
       1 2 3     0 2 3     0 1 2 3     1 2 3     0 2 3     1 2 3    0 3     0 1 3     0 1 3    1 3     0 2 3     0 1 2 3  
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       2   3       2 3       2 3    3 3        4        4        4
     2x x x  + 2x x x  + 2x x x  + x x  + x x x  + x x x  + x x x
       1 2 3     0 2 3     1 2 3    2 3    0 1 3    0 2 3    1 2 3

o1 : QQ[x ..x ]
         0   3