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

Synopsis

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,

This function creates the irreducible Lie algebra module with a given highest weight.

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

One can also use the shorthand LL:

i3 : LL_(1,1) (g)

o3 = LL   (g)
       1,1

o3 : irreducible LieAlgebraModule over g

as well as the shorthand ω: LL_(ω_2) (g)