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GradedLieAlgebras :: genDiffs

genDiffs -- the value of the differential on the generators of a Lie algebra

Synopsis

Description

This is a key for a LieAlgebra L, giving the differential of the generators. It can be seen by applying peekLie to L. The value is also the input for diffLieAlgebra. Observe that if the value is defined by L.genDiffs = {...}, then no checking of correctness of input is made. For that reason, use diffLieAlgebra instead.

i1 : L=lieAlgebra({a,b,c},genWeights=>{{2,0},{2,1},{4,2}},genSigns=>{0,1,0},diffl=>true)

o1 = L

o1 : LieAlgebra
i2 : L=diffLieAlgebra{L.zz,a,a b}/{c b,a c-b a b}

o2 = L

o2 : LieAlgebra
i3 : L.genDiffs

o3 = {0, a,  - (b a)}

o3 : List

See also

For the programmer

The object genDiffs is a symbol.