Young tableaux and braces

Question

I would like to use the following drawing in my memoir:

\begin{figure}[!h]
    \centering
    \begin{ytableau}
    ~               & \none & \none & \none         & \none \\
    \none[\vdots]   & \none & \none & \none         & \none \\
    ~               & \none & \none & \none         & \none \\
    ~               &       & \none & \none         & \none \\
    ~               &       &       & \none[\dots]  &        
    \end{ytableau}
    \caption{Diagram of $\lambda = (2 + u, 2, 1^v)$}
    \end{figure}

I would like to add braces on the top three cases (to indicate that there is $u$ cases) and on the three leftmost edit: rightmost cases (to indicate that there is v cases). How can I do that? The usual \left{ and \right. doesn't work in \ytableau.

Thanks in advance!

A sketch of the desired result would be necessary: just a photo of the result scribbled on paper would do. — egreg, Apr 21 '19 at 23:37
I would like a drawing like in the answer below, but with the bottom brace at the right instead of at the left — eti902, Apr 21 '19 at 23:41

score 3 · Answer 1 · answered Apr 22 '19 at 04:31

use of the ytableu have some advantages, however in your particular case it is worth to consider pure tikz solution:

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{decorations.pathreplacing,
                calligraphy,% must be loaded after decorations.pathreplacing
                matrix}

\begin{document}
\begin{figure}[htb]
    \centering
\begin{tikzpicture}[
BC/.style = {decorate, % for fancy calligraphic braces
        decoration={calligraphic brace, amplitude=5pt, raise=1mm},
        very thick, pen colour={black}
            },
                    ]
\matrix (m) [matrix of math nodes,
             nodes={draw, minimum size=6mm, anchor=center},
             column sep=-\pgflinewidth,
             row sep=-\pgflinewidth
             ]
{
~   &   &   &   &   \\
|[draw=none,text height=3mm]| \vdots
    &   &   &   &   \\
~   &   &   &   &   \\
~   & ~ &   &   &   \\
~   & ~ & ~ & |[draw=none]|\dots
                & ~ \\
};
\draw[BC] (m-3-1.south west) -- node[left =2.2mm] {$v$} (m-1-1.north west);
\draw[BC] (m-5-5.south east) -- node[below=2.2mm] {$u$} (m-5-3.south west);
\end{tikzpicture}
    \caption{Diagram of $\lambda = (2 + u, 2, 1^v)$}
\end{figure}
\end{document}

score 1 · Accepted Answer · 2019-04-22T01:07:15.970

If you do not mind tuning things you won't need additional packages.

\documentclass{article}
\usepackage{ytableau}
\begin{document}

\begin{figure}[!h]
    \centering
    \begin{tabular}{r@{}l}
    \raisebox{-2.5ex}{$u\left\{\vphantom{\begin{array}{c}~\\[6ex] ~
    \end{array}}\right.$} &
    \begin{ytableau}
    ~               & \none & \none & \none         & \none \\
    \none[\vdots]   & \none & \none & \none         & \none \\
    ~               & \none & \none & \none         & \none \\
    ~               &       & \none & \none         & \none \\
    ~               &       &       & \none[\dots]  &        
    \end{ytableau}\\[-1.5ex]
    &\hspace{3em}$\underbrace{\hspace{4.8em}}_{\displaystyle v}$
    \end{tabular}
    \caption{Diagram of $\lambda = (2 + u, 2, 1^v)$}
\end{figure}
\end{document}

Or, as ytableau loads pgf, it may not be too far a stretch to use tikzmark, but this may make more sense if you are loading tikz anyway.

\documentclass{article}
\usepackage{tikz}
\usepackage{ytableau}
\usetikzlibrary{tikzmark,decorations.pathreplacing}
\begin{document}
\begin{figure}[!h]
    \centering
    \begin{tabular}{c}
    \begin{ytableau}
    \tikzmarknode{v1}{~}               & \none & \none & \none         & \none \\
    \none[\vdots]   & \none & \none & \none         & \none \\
    \tikzmarknode{v2}{~}               & \none & \none & \none         & \none \\
    ~               &       & \none & \none         & \none \\
    ~               &       & \tikzmarknode{u1}{~}      & \none[\dots]  &       \tikzmarknode{u2}{~}
    \\
    \end{ytableau}\\[-1ex]
    ~
\end{tabular}
    \caption{Diagram of $\lambda = (2 + u, 2, 1^v)$}
\begin{tikzpicture}[overlay,remember picture,decoration=brace]
 \draw[decorate,thick] ([xshift=-1em,yshift=-0.5em]v2.south west) -- 
 ([xshift=-1em,yshift=1em]v1.north west) node[midway,left]{$v$};
 \draw[decorate,thick] ([xshift=1em,yshift=-0.75em]u2.south west) -- 
 ([xshift=-1em,yshift=-0.75em]u1.south west) node[midway,below]{$u$};
\end{tikzpicture}   
\end{figure}
\end{document}

Thanks for that! But I didn't wrote the good thing, I wanted the bottom bracket to be on the right cases, and I don't understand the code you wrote enough to adapt it... (see edit) It would be grat if you could help me again... — eti902, Apr 21 '19 at 23:16

Young tableaux and braces

2 Answers2