HELP FOR: A package for Schubert polynomials.

CALLING SEQUENCE:

SP[<function>](args)

<function>(args)

SYNOPSIS:

• This package provides functions to work on simple and double Schubert polynomials.

• To get more information on Schubert polynomials do either ?TYP,Schubert or ?TYP[Schubert].

• All defined bases are stored in the global variable SPBases that is by default {'x', 'y', 'X', 'Y', 'XX', 'YY'}. Note that the yi's are seen as special variables since they are the second alphabet for double Schubert polynomials.

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

• The available functions are:

  Flag	NewtonInterp	Sp2TableVar	SpScalarPol
  SpSpecialize	TableX	TableXX	TableY
  TableYY	ToX	ToXX	ToY
  ToYY	Tox	X2Dim	x2X
  x2XX

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

EXAMPLES:

> with(SP):
> TableXX(3);
 
               table([
                   [2, 1, 3] = x1 - y1
                   [3, 2, 1] = (x2 - y1) (x1 - y2) (x1 - y1)
                   [1, 3, 2] = x2 - y2 + x1 - y1
                   [2, 3, 1] = (x2 - y1) (x1 - y1)
                   [1, 2, 3] = 1
                   [3, 1, 2] = (x1 - y2) (x1 - y1)
               ])