\documentclass{amsart}[12pt]
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{latexsym}
\usepackage{tabmac}

\begin{document}
\thispagestyle{empty}
$$\begin{array}{cccc}
 & {\tableau[sbY]{\bl|5|4|3|2|1|\bl} } &  &  \\
 & {\tableau[sbY]{\bl|4|3|2|1,5|\bl} } &  &  \\
 & {\tableau[sbY]{\bl|3|2,5|1,4|\bl} }
& {\tableau[sbY]{\bl|5|3|2|1,4|\bl} } & \\
 {\tableau[sbY]{\bl|5|2,4|1,3|\bl} } & {\tableau[sbY]{\bl|3|2|1,4,5|\bl} } &
 {\tableau[sbY]{\bl|5|4|2|1,3|\bl} } & \\
{\tableau[sbY]{\bl|2,4|1,3,5|\bl} } & {\tableau[sbY]{\bl|5|4|3|1,2|\bl} } &
{\tableau[sbY]{\bl|4|2|1,3,5|\bl} } & {\tableau[sbY]{\bl|4|2,5|1,3|\bl} } \\
{\tableau[sbY]{\bl|4|3|1,2,5|\bl} } & {\tableau[sbY]{\bl|4|3,5|1,2|\bl} } &
{\tableau[sbY]{\bl|2,5|1,3,4|\bl} } & {\tableau[sbY]{\bl|5|2|1,3,4|\bl} } \\
{\tableau[sbY]{\bl|3,5|1,2,4|\bl} } & {\tableau[sbY]{\bl|5|3|1,2,4|\bl} } &
{\tableau[sbY]{\bl|2|1,3,4,5|\bl} } & {\tableau[sbY]{\bl|5|3,4|1,2|\bl} } \\
 & {\tableau[sbY]{\bl|3|1,2,4,5|\bl} } & 
{\tableau[sbY]{\bl|5|4|1,2,3|\bl} } & {\tableau[sbY]{\bl|3,4|1,2,5|\bl} } \\
 & {\tableau[sbY]{\bl|4|1,2,3,5|\bl} } & 
{\tableau[sbY]{\bl|4,5|1,2,3|\bl} } & \\
 & & {\tableau[sbY]{\bl|5|1,2,3,4|\bl} } & \\
 & & {\tableau[sbY]{\bl|1,2,3,4,5|\bl} } & \\
\end{array}$$
\end{document}