FUNCTION: Yama2StdTab - convert a Yamanouchi word into a standard tableau

CALLING SEQUENCE:

Yama2StdTab(yama)

TAB[Yama2StdTab](yama)

PARAMETERS:

yama = any list denoting a Yamanouchi word

SYNOPSIS:

• The Yama2StdTab function converts any Yamanouchi word into a standard tableau. By default, yama is a left Yamanouchi word.

• Yama2StdTab(yama) = Yama2StdTab(yama, 'left') but one can also read the Yamanouchi word from right to left by using Yama2StdTab(yama, 'right').

• The letters in the Yamanouchi word indicate the heights of the letters in the standard tableau. The first (resp. last) entry in yama gives the the heigth of the letter 1 in the tableau corresponding to the left (resp. right) Yamanouchi word. Thus the bottom height can be choosen to be any arbitrary integer.

• Whenever there is a conflict between the function name Yama2StdTab and another name used in the same session, use the long form TAB['Yama2StdTab'].

EXAMPLES:

> with(TAB):
> Yama2StdTab(w[0,2,3,0,2,0], 'right');
 
                           [[4], [2, 5], [1, 3, 6]]
 
> Yama2StdTab(w[1,2,3,1,2,1]);
 
                           [[3], [2, 5], [1, 4, 6]]