FUNCTION: Free2Table - convert an element of the free algebra into a table

CALLING SEQUENCE:

Free2Table(free)

FREE[Free2Table](free)

PARAMETERS:

free = any element of the free algebra

SYNOPSIS:

• The Free2Table function converts an element of the free algebra into a table. The table is indexed by lists and each entry corresponding to a list li is the coefficient of the word w[li] in the free element.

• This function can be useful if one wants to act either on coefficients or on words. For instance, one can use the map function to act on coefficients.

• Whenever there is a conflict between the function name Free2Table and another name used in the same session, use the long form FREE['Free2Table'].

EXAMPLES:

> with(FREE):
> Free2Table(q^2*w[1,2,1] + w[2,1,1] + q*w[1,2,1]);
 
                             table(sparse,[
                                            2
                               [1, 2, 1] = q  + q
                               [2, 1, 1] = 1
                             ])