next | previous | forward | backward | up | top | index | toc | packages | Macaulay2 website
LieTypes :: irreducibleLieAlgebraModule

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

Synopsis

Description

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({1,1},g)

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

Ways to use irreducibleLieAlgebraModule :

For the programmer

The object irreducibleLieAlgebraModule is a method function.