FUNCTION: Free2StdFree - standardization of words

CALLING SEQUENCE:

Free2StdFree(free)

FREE[Free2StdFree](free)

PARAMETERS:

free = any element of the free algebra

SYNOPSIS:

• The Free2StdFree function standardizes all words that appear in a given element of the free algebra. The standardization process replaces the 1's by 1..h, the 2's by h+1..k, etc, from left to right, in each word of the free element. It is compatible with Schensted algorithm.

• Whenever there is a conflict between the function name Free2StdFree and another name used in the same session, use the long form FREE['Free2StdFree'].

EXAMPLES:

> with(FREE):
> Free2StdFree(w[3,4,3,1,2,1,1] + w[1,1,1]);
 
                     w[5, 7, 6, 1, 4, 2, 3] + w[1, 2, 3]