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GradedLieAlgebras :: image(LieAlgebraMap)

image(LieAlgebraMap) -- make the image of a Lie algebra map

Synopsis

Description

i1 : F=lieAlgebra({a,b,c,r3,r4,r42},
       Weights => {{1,0},{1,0},{2,0},{3,1},{4,1},{4,2}},Signs=>{0,0,0,1,1,0},
       LastWeightHomological=>true)

o1 = F

o1 : LieAlgebra
i2 : D=differentialLieAlgebra{0_F,0_F,0_F,a c,a a c,r4 - a r3}

o2 = D

o2 : LieAlgebra
i3 : I=lieIdeal{b c - a c,a b,b r4 - a r4}

o3 = I

o3 : FGLieIdeal
i4 : Q=D/I

o4 = Q

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

o5 = f

o5 : LieAlgebraMap
i6 : T=image(f)

o6 = T

o6 : FGLieSubAlgebra
i7 : isSurjective f

o7 = true

See also