Given a derivation d:M->L, the map d changes the weight of the argument according to d.weightDer.
i1 : L=lieAlgebra({y,z},{},genSigns=>1,genWeights=>{{1,0},{1,-1}}) o1 = L o1 : LieAlgebra |
i2 : M=lieAlgebra({a,b},{},genSigns=>1,genWeights=>{{1,0},{1,1}}) o2 = M o2 : LieAlgebra |
i3 : f = mapLie(L,M,{[y],[]}) o3 = f o3 : MapLie |
i4 : d = derLie(f,{[y,z],[y,y]}) o4 = d o4 : DerLie |
i5 : d.weightDer o5 = {1, -1, 0} o5 : List |