\begin{table}[!ht]
  \caption{Cominuscule flag varieties. Cominuscule roots are denoted by the filled-in circles. This table is a modification of \cite[Table 1]{buch2016k}.}\label{table:comin}
  \centering
  \begin{tabular}{|l|l|}
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{3}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,n-1,n},scale=2]
                          {A}{**.**}
                        \end{dynkinDiagram}}                                & Type \(A_n\) (\(n\geq 1\)):                                                                  \\ & \(A_n/P_m = \Gr(m,n+1)\) \\ & Grassmannian of type A.\\
                                                                                                                                                  & \vspace{-3mm}                  \\
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{2}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,n-2,n-1,n},scale=2]
                          {B}{*o.ooo}
                        \end{dynkinDiagram}}                                & Type \(B_n\) (\(n\geq 2\)):                                                                  \\ & $B_n/P_1 = Q^{2n-1}$ \ Odd quadric. \\
                                                                                                                                                  & \vspace{-3mm}                  \\
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{3}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,n-2,n-1,n},scale=2]
                          {C}{oo.oo*}
                        \end{dynkinDiagram}}                                & Type \(C_n\) (\(n\geq 3\)):                                                                  \\ & $C_n/P_n = \LG(n,2n)$ \\
                                                                                                                                                  & Lagrangian Grassmannian.       \\
                                                                                                                                                  & \vspace{-3mm}                  \\
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{6}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,n-3,n-2,n-1,n},label directions={,,,right,,},scale=2]
                          {D}{*o.oo**}
                        \end{dynkinDiagram}} &                                   \\ & Type \(D_n\) (\(n\geq 4\)):\\ &  $D_n/P_1 = Q^{2n-2}$ \ Even quadric.\\ & $D_n/P_{n-1} \cong D_n/P_n = \OG(n,2n)$ \ \\
                                                                                                                                                  & Max.\ orthogonal Grassmannian. \\
                                                                                                                                                  &                                \\
                                                                                                                                                  & \vspace{-3mm}                  \\
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{5}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,3,4,5,6},scale=2]
                          {E}{*oooo*}
                        \end{dynkinDiagram}}                              &                                                                \\ & Type \(E_6\): \\ & $E_6/P_1 \cong E_6/P_6$ \\ &  Cayley plane. \\ & \\
                                                                                                                                                  & \vspace{-3mm}                  \\
    \hline
                                                                                                                                                  & \vspace{-3mm}                  \\
    \multirow{5}{*}{\ \begin{dynkinDiagram}[text style/.style={scale=0.9},labels={1,2,3,4,5,6,7},scale=2]
                          {E}{oooooo*}
                        \end{dynkinDiagram}}                              &                                                                \\ & Type \(E_7\): \\ & $E_7/P_7$ \\ & Freudenthal variety.\\ & \\
    \hline
  \end{tabular}
  \label{tab:comin}
\end{table}
