A derivation d:M->L depends on a Lie homomorphism f:M->L, which may be obtained as d.maplie.
i1 : L=lieAlgebra({y,z},{},genSigns=>1)
o1 = L
o1 : LieAlgebra
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i2 : M=lieAlgebra({a,b},{},genSigns=>1)
o2 = M
o2 : LieAlgebra
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i3 : f = mapLie(L,M,{[y],[]})
o3 = f
o3 : MapLie
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i4 : d = derLie(f,{[y,y],[y,z]})
o4 = d
o4 : DerLie
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i5 : d.maplie===f o5 = true |