Computes the direct sum of two Lie algebra modules.
i1 : g=simpleLieAlgebra("A",2) o1 = LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o1 : LieAlgebra |
i2 : U=irreducibleLieAlgebraModule({4,2},g) o2 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{4, 2} => 1}} highestWeight => {4, 2} isIrreducible => true LieAlgebra => LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o2 : LieAlgebraModule |
i3 : V=irreducibleLieAlgebraModule({3,1},g) o3 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{3, 1} => 1}} highestWeight => {3, 1} isIrreducible => true LieAlgebra => LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o3 : LieAlgebraModule |
i4 : U++V o4 = LieAlgebraModule{DecompositionIntoIrreducibles => HashTable{{3, 1} => 1}} {4, 2} => 1 isIrreducible => false LieAlgebra => LieAlgebra{isSimple => true } LieAlgebraRank => 2 RootSystemType => A o4 : LieAlgebraModule |