Computes the tensor product of two Lie algebra modules.
i1 : g=simpleLieAlgebra("A",2) o1 = g o1 : LieAlgebra |
i2 : U=irreducibleLieAlgebraModule({4,2},g) o2 = U o2 : g module |
i3 : V=irreducibleLieAlgebraModule({3,1},g) o3 = V o3 : g module |
i4 : U**V o4 = {LieAlgebra => g } isIrreducible => false DecompositionIntoIrreducibles => HashTable{{0, 5} => 1} {1, 3} => 1 {1, 6} => 1 {2, 1} => 1 {2, 4} => 2 {3, 2} => 2 {3, 5} => 1 {4, 0} => 1 {4, 3} => 2 {5, 1} => 2 {5, 4} => 1 {6, 2} => 2 {7, 0} => 1 {7, 3} => 1 {8, 1} => 1 o4 : g module |