LieDerivation \ List -- apply a derivation to every element in a list

Synopsis

• Operator: \

• Usage:

  y = d\x

• Inputs:
  • d, an instance of the type LieDerivation,
  • x, a list, the elements in $x$ belong to the source of $d$
• Outputs:
  • y, a list, the result of applying $d$ to every element in $x$

Description

i1 : L = lieAlgebra{a,b}

o1 = L

o1 : LieAlgebra

i2 : d = euler L

o2 = d

o2 : LieDerivation

i3 : d\basis(5,L)

o3 = {5 (a a a b a), 5 (b a a b a), 5 (a b a b a), 5 (b b a b a), 5 (a b b b
     ------------------------------------------------------------------------
     a), 5 (b b b b a)}

o3 : List