FUNCTION: Table2Free - convert a table into an element of the free algebra

CALLING SEQUENCE:

Table2Free(t)

FREE[Table2Free](t)

PARAMETERS:

t = any table denoting an element of the free algebra

SYNOPSIS:

• The Table2Free function converts a table into an element of the free algebra. The table should be indexed by lists of integers and each entry corresponding to a word word is interpreted as the coefficient of w[word] in the expression of the corresponding element in the free algebra.

• Whenever there is a conflict between the function name Table2Free and another name used in the same session, use the long form FREE['Table2Free'].

EXAMPLES:

> with(FREE):
> t:=table([[1,2,1]=q^2+q, [2,1,1]=1]);
 
                          t := table([
                                              2
                                 [1, 2, 1] = q  + q
                                 [2, 1, 1] = 1
                               ])
 
> Table2Free(t);
 
                         2
                       (q  + q) w[1, 2, 1] + w[2, 1, 1]