LieElement + LieElement -- addition of Lie elements

• Operator: +

• Usage:

  u=x + y

• Inputs:
  • x, an instance of the type LieElement, $x$ is of type $L$, where $L$ is of type LieAlgebra
  • y, an instance of the type LieElement, $y$ is of type $L$
• Outputs:
  • u, an instance of the type LieElement, $u$ is of type $L$, the sum of $x$ and $y$

i1 : L = lieAlgebra{a,b}

o1 = L

o1 : LieAlgebra

i2 : b b b a + a a a b

o2 =  - (a a b a) + (b b b a)

o2 : L