LieAlgebraMap @ LieElement -- formal application of a Lie map to a Lie element

• Operator: @

• Usage:

  y = f@x

• Inputs:
  • f, an instance of the type LieAlgebraMap,
  • x, an instance of the type LieElement, $x$ is an element in the source of $f$
• Outputs:
  • y, an instance of the type LieElement, $y$ is the formal application of $f$ to the Lie element $x$

i1 : L = lieAlgebra{a,b}

o1 = L

o1 : LieAlgebra

i2 : M = L/{a a b}

o2 = M

o2 : LieAlgebra

i3 : f = map(M,L)

o3 = f

o3 : LieAlgebraMap

i4 : use L

i5 : f@a b b a

o5 = (b a b a)

o5 : M

i6 : normalForm oo

o6 = 0

o6 : M