HELP FOR: A package to handle words.

CALLING SEQUENCE:

FREE[<function>](args)

<function>(args)

SYNOPSIS:

• This package provides functions to work with the free algebra, that is the algebra of words. It is also possible to work in the plactic monoid, i.e. the free algebra of words modulo the plactic relations.

• A general element is expressed as a linear combination of w[word], where word is a sequence of integers, with arbitrary coefficients.

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

• The available functions are:

  Free2NilFree	Free2PlaxClass	Free2Plax	Free2Pol
  Free2StdFree	Free2Table	FreeAdd	FreeConcat
  FreeMinus	FreeNormal	FreeShuffle	IdcaOnFree
  NilFree2Free	Pol2Free	Pol2Row	Sf2Free
  SgaOnFree	Table2Free

• For help with a particular function do either ?FREE[<function>] or ?FREE,<function> where <function> is one from the above list.

• Instead of FreeAdd, FreeMinus, FreeConcat, one can use in short &~+ &~- &~*

EXAMPLES:

> with(FREE):
> FreeShuffle(w[2,1] + w[2,1], w[1,1], 'q');
 
                  4                     2      3
               2 q  w[1, 1, 2, 1] + (2 q  + 2 q ) w[1, 2, 1, 1]
 
                                  2
                  + (2 + 2 q + 2 q ) w[2, 1, 1, 1]