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GradedLieAlgebras :: invImageBasisLie

invImageBasisLie -- computes a basis for the inverse image of a map or derivation

Synopsis

Description

The list b should contain generalExpressionLie of the same degree (and also homological degree d in the second case). The output bb is a list of basicExpressionLie, which is a basis for the inverse image under f of the space generated by b.

i1 : L=lieAlgebra({x,y},{},genSigns=>1)

o1 = L

o1 : LieAlgebra
i2 : M=lieAlgebra({a,b},{},genSigns=>1)

o2 = M

o2 : LieAlgebra
i3 : f = mapLie(L,M,{[x],[]})

o3 = f

o3 : MapLie
i4 : d = derLie(f,{[x,x],[x,y]})

o4 = d

o4 : DerLie
i5 : invImageBasisLie(3,f,{[x,y,x]})

o5 = {[b, a, a], [b, b, a]}

o5 : List
i6 : invImageBasisLie(3,d,{[x,y,x]})

o6 = {[a, a], [b, a], [b, b]}

o6 : List

See also

Ways to use invImageBasisLie :