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%%%%%%%%%%%%%%%%%%%%%%%%%
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\bigskip

\centerline{HTML}
\keyin{&nbsp;}{\textvisiblespace}
\keyin{&#37;}{\%}
\keyin{&permil;}{��} %%\keyin{&#8240;}{}
\keyin{&iexcl;}{\textexclamdown}
\keyin{&#64;}{@}
\keyin{&amp;}{\&} %\keyin{&#38;}{}
\keyin{&cent;}{��}
\keyin{&pound;}{\pounds}
%\keyin{&curren;}{}	% No SJIS
\keyin{&yen;}{\yen}
%\keyin{&brvbar;}{} % No SJIS
\keyin{&sect;}{\S}
\keyin{&dagger;}{$\dag$}
\keyin{&Dagger;}{$\ddag$}
\keyin{&not;}{$\lnot$}
%\keyin{&shy;}{?}
\keyin{&copy;}{\copyright}
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\keyin{&trade;}{\texttrademark}
\keyin{&uml;}{\"{}}
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\keyin{&laquo;}{$\ll$}
\keyin{&raquo;}{$\gg$}
\keyin{&iquest;}{\textquestiondown}

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\keyin{&#8533;}{\scalebox{0.6}[0.8]{1/5}}
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\keyin{&#8535;}{\scalebox{0.6}[0.8]{3/5}}
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%\keyin{&Eth;}{\DH}
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%\keyin{&szlig;}{\ss}

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\keyin{&iacute;}{\'\i}
\keyin{&icirc;}{\^\i}
\keyin{&iuml;}{\"\i}
%\keyin{&eth;}{\dh}
\keyin{&ntilde;}{\~n}
\keyin{&ograve;}{\`o}
\keyin{&oacute;}{\'o}
\keyin{&ocirc;}{\^o}
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\keyin{&uuml;}{\"u}
\keyin{&yacute;}{\'y}
%\keyin{&thorn;}{\th}
\keyin{&szlig;}{\ss}
\keyin{&yuml;}{\"y}

\keyin{&bull;}{$\bullet$}
%%\keyin{&#8226;}{}
\keyin{&hellip;}{$\cdots$}
\keyin{&#8230;}{}
\keyin{&prime;}{${}'$}\ 
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%%\keyin{&#8260;}{}
\keyin{&larr;}{$\leftarrow$}
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\keyin{&Alpha;}{A}
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\keyin{&Gamma;}{$\Gamma$}
\keyin{&Delta;}{$\Delta$}
\keyin{&Epsilon;}{E}
\keyin{&Zeta;}{Z}
\keyin{&Eta;}{H}
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\keyin{&Iota;}{I}
\keyin{&Kappa;}{K}
\keyin{&Lambda;}{$\Lambda$}
\keyin{&Mu;}{M}
\keyin{&Nu;}{N}
\keyin{&Xi;}{$\Xi$}
\keyin{&Omicron;}{O}
\keyin{&Pi;}{$\Pi$}
\keyin{&Rho;}{P}
\keyin{&Sigma;}{$\Sigma$}
\keyin{&Tau;}{T}
\keyin{&Upsilon;}{$\Upsilon$}
\keyin{&PHI;}{$\Phi$}
\keyin{&Chi;}{X}
\keyin{&Psi;}{$\Psi$}
\keyin{&Omega;}{$\Omega$}

\keyin{&alpha;}{$\alpha$}
\keyin{&beta;}{$\beta$}
\keyin{&gamma;}{$\gamma$}
\keyin{&delta;}{$\delta$}
\keyin{&epsilon;}{$\epsilon$}
\keyin{&zeta;}{$\zeta$}
\keyin{&eta;}{$\eta$}
\keyin{&theta;}{$\theta$}
\keyin{&iota;}{$\iota$}
\keyin{&kappa;}{$\kappa$}
\keyin{&lambda;}{$\lambda$}
\keyin{&mu;}{$\mu$}
\keyin{&nu;}{$\nu$}
\keyin{&xi;}{$\xi$}
\keyin{&omicron;}{o}
\keyin{&pi;}{$\pi$}
\keyin{&rho;}{$\rho$}
\keyin{&sigmaf;}{$\varsigma$}
\keyin{&sigma;}{$\sigma$}
\keyin{&tau;}{$\tau$}
\keyin{&upsilon;}{$\upsilon$}
\keyin{&phi;}{$\varphi$}
\keyin{&chi;}{$\chi$}
\keyin{&psi;}{$\psi$}
\keyin{&omega;}{$\omega$}
\keyin{&thetasym;}{$\vartheta$} %\keyin{&#977;}{}
%\keyin{&upsih;}{} %\keyin{&#978;}{}
\keyin{&piv;}{$\varpi$} %\keyin{&#982;}{}

\keyin{&forall;}{$\forall$}
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\keyin{&empty;}{$\emptyset$}
\keyin{&nabla;}{$\nabla$}
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\keyin{&notin;}{$\notin$}
\keyin{&ni;}{$\ni$}
\keyin{&prod;}{$\prod$}
\keyin{&sum;}{$\sum$}
\keyin{&minus;}{$-$}
\keyin{&lowast;}{$\ast$}
\keyin{&radic;}{$\sqrt{\ }$} %{��} %\keyin{&#8730;}{}
\keyin{&prop;}{$\propto$}
\keyin{&infin;}{$\infty$}
\keyin{&ang;}{$\angle$}
\keyin{&and;}{$\wedge$}
\keyin{&or;}{$\vee$}
\keyin{&cap;}{$\cap$}
\keyin{&cup;}{$\cup$}
\keyin{&int;}{$\int$}
\keyin{&#8748;}{$\iint$}
\keyin{&#8750;}{$\oint$}
\keyin{&there4;}{$\therefore$}
\keyin{&#8757;}{$\because$}

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\keyin{&cong;}{$\cong$}
\keyin{&asymp;}{$\approx$}
\keyin{&ne;}{$\neq$}
\keyin{&equiv;}{$\equiv$}
\keyin{&le;}{$\le$}
\keyin{&ge;}{$\ge$}
\keyin{&sub;}{$\subset$}
\keyin{&sup;}{$\supset$}
\keyin{&nsub;}{$\not\subset$} %%\keyin{&#8836;}{}
\keyin{&sube;}{$\subseteq$}
\keyin{&supe;}{$\supseteq$}
\keyin{&times;}{$\times$}
\keyin{&divide;}{$\div$}
\keyin{&oplus;}{$\oplus$}
\keyin{&otimes;}{$\otimes$}
\keyin{&perp;}{$\perp$}
\keyin{&sdot;}{$\cdot$} %\keyin{&#8901;}{}
%\keyin{&#43;}{}
%\keyin{&#45;}{}
\keyin{&#8486;}{$\mho$}
%\keyin{&#37;}{}
\keyin{&lt;}{$<$}
\keyin{&gt;}{$>$}

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\keyin{&scaron;}{\u{S}}
\keyin{&scaron;}{\u{s}}
\keyin{&yuml;}{\"{Y}}
\keyin{&circ;}{\textasciicircum}
\keyin{&tilde;}{\textasciitilde}
\keyin{&ndash;}{--} %%\keyin{&#8211;}{}
\keyin{&mdash;}{---} %%\keyin{&#8212;}{}
\keyin{&lsquo;}{`} %%\keyin{&#8216;}{}
\keyin{&rsquo;}{'} %%\keyin{&#8217;}{}
\keyin{&sbquo;}{,} %%\keyin{&#8218;}{}
\keyin{&ldquo;}{``} %%\keyin{&#8220;}{}
\keyin{&rdquo;}{''} %%\keyin{&#8221;}{}
\keyin{&bdquo;}{,\hspace{-1pt},} %%\keyin{&#8222;}{}
\keyin{&lsaquo;}{$\langle$} %%\keyin{&#8249;}{}
\keyin{&rsaquo;}{$\rangle$} %%\keyin{&#8250;}{}
%\keyin{&euro;}{} %%\keyin{&#8364;}{}

\keyin{&#9650;}{$\blacktriangle$}
\keyin{&#9658;}{$\blacktriangleright$}
\keyin{&#9660;}{$\blacktriangledown$}
\keyin{&#9668;}{$\blacktriangleleft$}
\keyin{&#9632;}{$\blacksquare$}
\keyin{&#9633;}{$\square$}
%\keyin{&#9635;}{}
%\keyin{&#9672;}{}
%\keyin{&#9636;}{}
%\keyin{&#9637;}{}
%\keyin{&#9638;}{}
%\keyin{&#9639;}{}
%\keyin{&#9640;}{}
%\keyin{&#9641;}{}
%\keyin{&#9642;}{}
%\keyin{&#9643;}{}
%\keyin{&loz;}{}
%\keyin{&#9674;}{}
\keyin{&#9675;}{��}\ 
\keyin{&#9679;}{��}
%\keyin{&#9786;}{}
%\keyin{&#9787;}{}
%\keyin{&#9788;}{}
%\keyin{&#9617;}{}
%\keyin{&#9618;}{}
%\keyin{&#9619;}{}
%\keyin{&euro;}{}
%\keyin{&#8364;}{}
%\keyin{&#8362;}{}
\keyin{&#9792;}{��}
\keyin{&#9794;}{��}
\keyin{&spades;}{$\spadesuit$}
%\keyin{&#9828;}{}
\keyin{&clubs;}{$\clubsuit$}
%\keyin{&#9831;}{}
%\keyin{&hearts;}{}
%\keyin{&#9829;}{}
\keyin{&#9825;}{$\heartsuit$}
\keyin{&diams;}{$\blacklozenge$}
\keyin{&#9733;}{$\bigstar$}
\keyin{&#9734;}{��}
%\keyin{&#8962;}{}
%\keyin{&#8470;}{}
%\keyin{&#9742;}{}
%\keyin{&#9743;}{}
%\keyin{&#9832;}{}
%\keyin{&#9756;}{}
%\keyin{&#9758;}{}
%\keyin{&#9833;}{}
%\keyin{&#9834;}{}
%\keyin{&#9835;}{}
%\keyin{&#9742;}{}
%\keyin{&#9786;}{}
%\keyin{&#9787;}{}
%\keyin{&#9788;}{}
%\keyin{&#10045;}{}
%\keyin{&#1578;}{}
%\keyin{&#1769;}{}
%\keyin{&#3642;}{}
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\leftline{\Goto{top}{Top}}

\vspace*{-3ex}
\centerline{\large\sf \name{young}{Packages for Young Tableau}}
{\bf 1.} {\tt young.sty} (by J\"org Knappen)

\keyin{\usepackage{young} 0d 0a}{{\tt\BK usepackage\{young\}}}\qquad

\keyin{\begin{Young} & & \cr 0d 0a & & \cr 0d 0a \end{Young}}%
{\texttt{\BK begin\{Young\}\\
 .. \& .. \& .. \BK cr\\
 .. \& .. \& .. \BK cr\\
\BK end\{Young\}
}}

\begin{z2col}
\begin{verbatim}
\begin{Young}
 $a_1$ & $a_2$ & $a_3$ & $a_4$ \cr
 $b_1$ & $b_2$ & $b_3$ \cr
 $c_1$ & $c_2$ & $c_3$\cr
 $d_1$ & $d_2$\cr
\end{Young}
\begin{Young}
  p  &  q &  r & s \cr
  pa & pb & pc \cr
  qa & qb & qc \cr
  ra & rb \cr
\end{Young}
\end{verbatim}

\kaidan

\vspace*{0.1ex}
\hspace*{2cm}
\begin{Young}
 $a_1$ & $a_2$ & $a_3$ & $a_4$ \cr
 $b_1$ & $b_2$ & $b_3$ \cr
 $c_1$ & $c_2$ & $c_3$\cr
 $d_1$ & $d_2$\cr
\end{Young}

\vspace*{5ex}
\hspace*{2cm}
\begin{Young}
  p  &  q &  r & s \cr
  pa & pb & pc \cr
  qa & qb & qc \cr
  ra & rb \cr
\end{Young}
\end{z2col}

\medskip
{\bf 2.} {\tt youngtab.sty} (by Volker B\"ochers and Stefan Gieseke)

\keyin{\usepackage[]{youngtab}}{\texttt{\BK usepackage[..]\{youngtab\}}}\\
{\tt\D{vcentermath}}   
\keyin{\Yvcentermath=}{\qquad\qquad{\tt\BK Yvcentermath}}=0 or 1

{\tt\D{noautoscale}}
\keyin{\Yautoscale=}{\qquad\qquad{\tt\BK Yautoscale}}=0 or 1

{\tt\D{stdtext}}

{\tt\D{enableskew}}


\keyin{\Yboxdim=}{{\tt\BK Yboxdim}}= \qquad\qquad  (valid only when autoscale is off)

\keyin{\Ylinethick=}{{\tt\BK Ylinethick}}=  \qquad\ \,(default: 0.3pt)

\keyin{\Yinterspace=}{{\tt\BK Yinterspace}}= \qquad(default: 0ex plus .3ex)
\begin{verbatim}
\def\I{ii}
$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$
{\tiny$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$}
\young(\I bcd,efg,hij,k) \hfill \young(abcd,:bc,::d)
\end{verbatim}
\def\I{ii}
$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$\hfill
{\tiny$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$}\hfill\hfill
\young(\I bcd,efg,hij,k)\hfill
\young(abcd,:bc,::d)
\end{document}
