-- -*- M2-comint -*- {* hash: -1005542008 *} i1 : M=QQ^3; i2 : scan(4, i-> << i+1 << "-th symmetric power of M = " << schurModule({i+1},M) << endl) 3 1-th symmetric power of M = QQ 6 2-th symmetric power of M = QQ 10 3-th symmetric power of M = QQ 15 4-th symmetric power of M = QQ i3 : S = schurModule({3,2,1}, M); i4 : v = sum(numgens S, i-> (i+1)*S_i) -- an element of S represented by a vector o4 = | 1 | | 2 | | 3 | | 4 | | 5 | | 6 | | 7 | | 8 | 8 o4 : QQ i5 : printSchurModuleElement(v, S); +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ 1*|0|0|0| 2*|0|0|1| 3*|0|0|2| 4*|0|0|0| 5*|0|0|1| 6*|0|0|2| 7*|0|1|1| 8*|0|1|2| |1|1| | |1|1| | |1|1| | |1|2| | |1|2| | |1|2| | |1|2| | |1|2| | |2| | | |2| | | |2| | | |2| | | |2| | | |2| | | |2| | | |2| | | +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ +-+-+-+ i6 :