LieAlgebraMap \\ List -- formal application of a Lie map to every element in a list

• Operator: \\

• Usage:

  y = f\\x

• Inputs:
  • f, an instance of the type LieAlgebraMap,
  • x, a list, the elements in $x$ belong to the source of $f$
• Outputs:
  • y, a list, the elements in $y$ are the formal application of $f$ to the elements in $x$

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 : b = basis(4,L)

o4 = {(a a b a), (b a b a), (b b b a)}

o4 : List

i5 : f\\b

o5 = {(a a b a), (b a b a), (b b b a)}

o5 : List

i6 : f\b

o6 = {0, 0, (b b b a)}

o6 : List