dim(LieAlgebraModule) -- computes the dimension of a Lie algebra module as a vector space over the ground field

Synopsis

• Function: dim

• Usage:

  dim(V)

• Inputs:
  • V, an instance of the type LieAlgebraModule,
• Outputs:
  • k, an integer,

Description

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

o1 = g

o1 : simple LieAlgebra

i2 : V=irreducibleLieAlgebraModule({1,0},g)

o2 = V

o2 : irreducible LieAlgebraModule over g

i3 : dim(V)

o3 = 3