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GradedLieAlgebras :: kernel(LieAlgebraMap)

kernel(LieAlgebraMap) -- make the kernel of a map

Synopsis

Description

The optional input given above is not relevant for Lie algebras.

i1 : L = lieAlgebra({a,b,c},Weights=>{{1,0},{2,1},{3,2}},
            Signs=>{1,1,1},LastWeightHomological=>true)

o1 = L

o1 : LieAlgebra
i2 : D= differentialLieAlgebra({0_L,a a,a b})

o2 = D

o2 : LieAlgebra
i3 : Q=D/{b b+4 a c}

o3 = Q

o3 : LieAlgebra
i4 : R=Q/{a b b}

o4 = R

o4 : LieAlgebra
i5 : f=map(R,Q)

o5 = f

o5 : LieAlgebraMap
i6 : I=kernel f

o6 = I

o6 : LieIdeal
i7 : basis(6,I)

o7 = {(a a a a b), (a a a c)}

o7 : List

See also