The optional inputs given above are not relevant for Lie algebras. If $d$ is a derivation $M \ \to\ L$, then there is defined a Lie algebra map $f: M \ \to\ L$, which determines the $M$-module-structure on $L$, and this map is represented by map(d).
i1 : L=lieAlgebra({x,y},Signs=>1)
o1 = L
o1 : LieAlgebra
|
i2 : M=lieAlgebra({a,b},Signs=>0,Weights=>{2,2})
o2 = M
o2 : LieAlgebra
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i3 : f = map(L,M,{x x,x y})
o3 = f
o3 : LieAlgebraMap
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i4 : d = lieDerivation(f,{2 x,-y})
o4 = d
o4 : LieDerivation
|
i5 : describe d
o5 = a => 2 x
b => - y
map => f
sign => 1
weight => {-1, 0}
source => M
target => L
|
i6 : d a b o6 = 0 o6 : L |