LieAlgebraModule ++ LieAlgebraModule -- direct sum of LieAlgebraModules

Synopsis

• Operator: ++

• Usage:

  U ++ V

• Inputs:
  • U, an instance of the type LieAlgebraModule,
  • V, an instance of the type LieAlgebraModule,
• Outputs:
  • W, an instance of the type LieAlgebraModule,

Description

i1 : g=simpleLieAlgebra("A",2)

o1 = g

o1 : simple LieAlgebra

i2 : U=irreducibleLieAlgebraModule({4,2},g)

o2 = U

o2 : irreducible LieAlgebraModule over g

i3 : V=irreducibleLieAlgebraModule({3,1},g)

o3 = V

o3 : irreducible LieAlgebraModule over g

i4 : U++V

o4 = LL   (g) ++ LL   (g)
       3,1         4,2

o4 : LieAlgebraModule over g