irreducibleLieAlgebraModule -- construct the irreducible Lie algebra module with given highest weight

• Usage:

  irreducibleLieAlgebraModule(w,g)

  irreducibleLieAlgebraModule(g,w)

• Inputs:
  • w, a list, the highest weight of the desired module
  • g, an instance of the type LieAlgebra,
• Outputs:
  • M, an instance of the type LieAlgebraModule,

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

o1 = g

o1 : simple LieAlgebra

i2 : irreducibleLieAlgebraModule(g,{1,1})

o2 = LL   (g)
       1,1

o2 : irreducible LieAlgebraModule over g

i3 : LL_(1,1) (g)

o3 = LL   (g)
       1,1

o3 : irreducible LieAlgebraModule over g