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GradedLieAlgebras :: coeffsLie

coeffsLie -- computes the coefficients of a LieElement

Synopsis

Description

A LieElement has a normal form, which is a linear combination of basis elements in a Lie algebra L in a certain order, coeffsLie gives the list of coefficients in this representation. If the LieElement has been obtained using the "formal" operators, then coeffsLie gives the coefficients for all the iterated Lie products used in the expression.

i1 : L = lieAlgebra({a,b,c})

o1 = L

o1 : LieAlgebra
i2 : x = a b c - 3 c b a +(1/3) b a c

o2 =  - (4/3)(b c a) - 2 (c b a)

o2 : L
i3 : coeffsLie x

        4
o3 = {- -, -2}
        3

o3 : List
i4 : y = a@b@c/3@c@b@a++(1/3)@b@a@c

o4 = (a b c) - 3 (c b a) + (1/3)(b a c)

o4 : L
i5 : coeffsLie y

             1
o5 = {1, -3, -}
             3

o5 : List
i6 : monomialsLie y

o6 = {(a b c), (c b a), (b a c)}

o6 : List

See also

Ways to use coeffsLie :