HELP FOR: A package for tableaux and contretableaux.

CALLING SEQUENCE:

TAB[<function>](args)

<function>(args)

SYNOPSIS:

• This package provides functions to work on tableaux and contretableaux. It includes the (nilplactic) Bump process on tableaux and contretableaux, the bijection between words and pairs of tableaux. It also allows to enumerate tableaux, to compute idempotents of the symmetric group algebra and to act on rows (resp. columns) of a tableau (contretableau).

• To get more information on tableaux do either ?TYP,Tableau or ?TYP[Tableau].

• To get more information on contretableaux do either ?TYP,CTableau or ?TYP[CTableau].

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

• The available functions are:

  Bump	BumpC	CTab2Mat	CTab2Part
  CTab2Word	InvSchensted	ListStdTab	ListTab
  ListYama	Mat2CTab	Mat2Tab	Part2ListStdTab
  PermOnCTab	PermOnTab	Schensted	StdTab2SgaIdemp
  StdTab2Yama	Tab2Mat	Tab2Part	Tab2Word
  Word2CTab	Word2Charge	Word2CoCharge	Word2Key
  Word2Tab	Yama2StdTab

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

EXAMPLES:

> with(TAB):
> CTab2Mat( Word2CTab(w[5,2,4,1,3,3,2,5,4,5,1,7,4,3,1,5,1,1]) );
 
                            [ 2  3  5  5  5  7 ]
                            [                  ]
                            [    1  4  4  4  5 ]
                            [                  ]
                            [       1  1  3  3 ]
                            [                  ]
                            [             1  2 ]
                            [                  ]
                            [                1 ]