i1 : g=simpleLieAlgebra("A",2) o1 = LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o1 : LieAlgebra |
i2 : V=irreducibleLieAlgebraModule({1,0},g) o2 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{1, 0} => 1}} highestWeight => {1, 0} isIrreducible => true LieAlgebra => LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o2 : LieAlgebraModule |
i3 : dim(V) o3 = 3 |