LieDerivation LieElement -- apply a derivation

• Operator: SPACE

• Usage:

  y = d x

• Inputs:
  • d, an instance of the type LieDerivation,
  • x, an instance of the type LieElement, $x$ is an element in the source of $d$
• Outputs:
  • y, an instance of the type LieElement, $y$ is the result of applying $d$ to the element $x$

i1 : L = lieAlgebra{a,b}

o1 = L

o1 : LieAlgebra

i2 : d = lieDerivation{a,b}

o2 = d

o2 : LieDerivation

i3 : d a a a b a

o3 = 5 (a a a b a)

o3 : L