-- -*- M2-comint -*- {* hash: -1089655814 *} 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 o1 = x x + x x x + 2x x x + 2x x x + x x x + 2x x x + 2x x x + 2x 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 ------------------------------------------------------------------------ 3 3 2 3 2 3 3 3 4 4 3 2 2 3 + x x + 2x x x + 2x x x + x x + x x x + x x x + 2x x x + 2x x x 0 2 0 1 2 0 1 2 1 2 0 1 2 0 1 3 0 1 3 0 1 3 ------------------------------------------------------------------------ 4 4 3 2 2 3 4 3 2 + x x x + x x x + 4x x x x + 5x x x x + 4x x x x + x x x + 2x x x 0 1 3 0 2 3 0 1 2 3 0 1 2 3 0 1 2 3 1 2 3 0 2 3 ------------------------------------------------------------------------ 2 2 2 2 3 2 2 3 3 2 3 + 5x x x x + 5x x x x + 2x x x + 2x x x + 4x x x x + 2x x x + 0 1 2 3 0 1 2 3 1 2 3 0 2 3 0 1 2 3 1 2 3 ------------------------------------------------------------------------ 4 4 3 2 2 2 2 3 2 3 2 2 2 x x x + x x x + 2x x x + 2x x x + 2x x x + 2x x x + 5x x x x + 0 2 3 1 2 3 0 1 3 0 1 3 0 1 3 0 2 3 0 1 2 3 ------------------------------------------------------------------------ 2 2 3 2 2 2 2 2 2 2 2 2 3 2 3 2 5x x x x + 2x x x + 2x x x + 5x x x x + 2x x x + 2x x x + 2x x x 0 1 2 3 1 2 3 0 2 3 0 1 2 3 1 2 3 0 2 3 1 2 3 ------------------------------------------------------------------------ 3 3 2 3 2 3 3 3 2 3 3 2 3 + x x + 2x x x + 2x x x + x x + 2x x x + 4x x x x + 2x x x + 0 3 0 1 3 0 1 3 1 3 0 2 3 0 1 2 3 1 2 3 ------------------------------------------------------------------------ 2 3 2 3 3 3 4 4 4 2x x x + 2x x x + x x + x x x + x x x + x x x 0 2 3 1 2 3 2 3 0 1 3 0 2 3 1 2 3 o1 : R i2 :