generators(LieAlgebra) -- get the generators

Synopsis

• Function: generators

• Usage:

  g=generators(L)

• Inputs:
  • L, an instance of the type LieAlgebra,
• Optional inputs:
  • CoefficientRing => ..., default value null,
• Outputs:
  • g, a list, a list of generators for $L$ as a Lie algebra

Description

i1 : F=lieAlgebra{a,b,c}

o1 = F

o1 : LieAlgebra

i2 : I=lieIdeal{a a b,a a c}

o2 = I

o2 : FGLieIdeal

i3 : L=F/I

o3 = L

o3 : LieAlgebra

i4 : gens L

o4 = {a, b, c}

o4 : List

See also

• generators(LieSubSpace) -- get the generators
• generators(ExtAlgebra) -- get the generators