HELP FOR: A package for symmetric functions.

CALLING SEQUENCE:

SYMF[<function>](args)

<function>(args)

SYNOPSIS:

• This package provides functions to work with symmetric functions. It is related to the SF package of Stembridge.

• To get more information on symmetric functions do either ?TYP,Sf or ?TYP[Sf].

• All defined bases are stored in the global variable SYMFBases that is by default {'e', 'h', 's', 'p', 'm', 'c'}.

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

• The available functions are:

  Char2Sf	Sf2Char	Sf2Table	Sf2TableVar
  SfAddBasis	SfCCProd	SfDiff	SfDualBasis
  SfEval	SfInternal	SfJtMat	SfMat
  SfOmega	SfPlethysm	SfScalar	SfTheta
  SfZee	Table2Sf	Toc	Toe
  Toh	Tom	Top	Tos

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

EXAMPLES:

> with(SYMF):
> Tos(e5*s[4,2,2,1,1]);
 
 s[4, 2, 2, 1, 1, 1, 1, 1, 1, 1] + s[4, 2, 2, 2, 1, 1, 1, 1, 1]
 
     + s[4, 2, 2, 2, 2, 1, 1, 1] + s[4, 3, 2, 1, 1, 1, 1, 1, 1]
 
     + s[4, 3, 2, 2, 1, 1, 1, 1] + s[4, 3, 2, 2, 2, 1, 1]
 
     + s[4, 3, 3, 1, 1, 1, 1, 1] + s[4, 3, 3, 2, 1, 1, 1]
 
     + s[4, 3, 3, 2, 2, 1] + s[5, 2, 2, 1, 1, 1, 1, 1, 1]
 
     + s[5, 2, 2, 2, 1, 1, 1, 1] + s[5, 2, 2, 2, 2, 1, 1]
 
     + s[5, 3, 2, 1, 1, 1, 1, 1] + s[5, 3, 2, 2, 1, 1, 1]
 
     + s[5, 3, 2, 2, 2, 1] + s[5, 3, 3, 1, 1, 1, 1]
 
     + s[5, 3, 3, 2, 2] + s[5, 3, 3, 2, 1, 1]