evalDiffLie -- the value of the differential of the current Lie algebra applied to an argument

i1 : L=lieAlgebra({a,b,c},{},
         genWeights=>{{1,0},{1,0},{3,1}},genDiffs=>{[],[],[a,a,b]},genSigns=>{0,0,1})

o1 = L

o1 : LieAlgebra

i2 : peek L

o2 = LieAlgebra{cache => CacheTable{...9...}          }
                compdeg => 3
                deglength => 2
                field => QQ
                genDiffs => {[], [], [a, a, b]}
                genSigns => {0, 0, 1}
                gensLie => {a, b, c}
                genWeights => {{1, 0}, {1, 0}, {3, 1}}
                numGen => 3
                relsLie => {}

i3 : evalDiffLie([a,a,c])

o3 = {{-1}, {[a, a, a, b, a]}}

o3 : List

i4 : evalDiffLie oo

o4 = []

o4 : Array