# 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