\NewDocumentCommand\HSS{mommm} {#1&\IfNoValueTF{#2}{\dynkin{#3}{#4}}{\dynkin[parabolic=#2]{#3}{#4}}\\} \renewcommand*{\arraystretch}{1.5} \begin{longtable} {>{\columncolor[gray]{.9}}>$l<$>{\columncolor[gray]{.9}}>$l<$>{\columncolor[gray]{.9}}l} \caption{The Hermitian symmetric spaces}\endfirsthead \caption{\dots continued}\\ \endhead \caption{continued \dots}\\ \endfoot \endlastfoot \HSS{A_n}{A}{**.*x*.**}{Grassmannian of $k$-planes in $\C{n+1}$} \HSS{B_n}[1]{B}{}{$(2n-1)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n+1}$} \HSS{C_n}[16]{C}{}{space of Lagrangian $n$-planes in $\C{2n}$} \HSS{D_n}[1]{D}{}{$(2n-2)$-dimensional hyperquadric, i.e. the variety of null lines in $\C{2n}$} \HSS{D_n}[32]{D}{}{one component of the variety of maximal dimension null subspaces of $\C{2n}$} \HSS{D_n}[16]{D}{}{the other component} \HSS{E_6}[1]{E}{6}{complexified octave projective plane} \HSS{E_6}[32]{E}{6}{its dual plane} \HSS{E_7}[64]{E}{7}{the space of null octave 3-planes in octave 6-space} \end{longtable}