# LieAlgebraMap \ List -- apply a Lie homomorphism to every element in a list

## Synopsis

• 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 result of applying $f$ to every element in $x$

## Description

 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 : basis(4,L) o4 = {(a a b a), (b a b a), (b b b a)} o4 : List i5 : f\oo o5 = {0, 0, (b b b a)} o5 : List