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GradedLieAlgebras :: maplie

maplie -- the Lie homomorphism f in the definition of a derivation

Synopsis

Description

A derivation d:M->L depends on a Lie homomorphism f:M->L, which may be obtained as d.maplie.

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

o1 = L

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

o2 = M

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

o3 = f

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

o4 = d

o4 : DerLie
i5 : d.maplie===f

o5 = true

See also

For the programmer

The object maplie is a symbol.