English: The Tits index of type 2Dn, created using tikz.
Source
“Classification of algebraic semisimple groups”, in Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965), Providence, R.I.: American Mathematical Society, 1966, pages 33–62
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Source code:
\documentclass{standalone}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{calc,decorations.pathreplacing,decorations.markings}
\usetikzlibrary{fit,math,positioning,arrows.meta,shapes.geometric}
\tikzset{
n/.style={fill=black,circle, %% node
inner sep=0pt,minimum size=4pt},
e/.style={fill=black,circle, %% ellipses
inner sep=0pt,minimum size=2pt},
w/.style={fill=white,draw=white,circle, %% white (omitted) nodes
inner sep=0pt,minimum size=4pt},
c/.style={ellipse,draw=black,inner sep=1pt}, %% circles
b/.style={decoration={brace,amplitude=10pt},decorate,thick}, %% brace
a/.style={postaction={decorate,decoration={
markings, mark=at position .5 with
{\arrow[black]{Straight Barb[length=\al]}}
}}} %% mid arrow
}
\def\v{0.5cm} %% vertical node space
\def\h{1cm} %% horizontal node space
\def\s{1.8pt} %% space for weighted edges
\def\al{5pt} %% arrow length
\def\l{2.5*\v} %% label separator
\begin{document}
\begin{tikzpicture}
%% Nodes
\node[n] (1) at (0,0) {};
\foreach \x [evaluate=\x as \y using int(\x-1)] in {2,...,18} {
\node[n] (\x) [right=\h of \y] {};
}
\node[n] at ($(18) + (\h,0.5*\v)$) (19) {};
\node[n] at ($(18) + (\h,-0.5*\v)$) (19') {};
%% Solid Edges
% single
\foreach \x [evaluate=\x as \y using int(\x+1)]
in {1,3,4,6,7,11,12,14,15,17} {
\draw (\x.center) -- (\y.center);
}
\draw[out= 45,in=180] (18.center) to (19.center);
\draw[out=-45,in=180] (18.center) to (19'.center);
%% Ellipses
\foreach \x [evaluate=\x as \y using int(\x+1)]
in {2,5,8,9,10,13,16} {
\foreach \i in {0.25,0.5,0.75} {
\node[e] at ($(\x)!\i!(\y)$) {};
% \draw[white] (\x) -- node [black] {\Large$\cdots$} (\y);
}
}
%% Omitted Nodes
\foreach \x in {9,10} {
\node[w] at (\x) {};
}
%% Circled Nodes
\foreach \x in {4,7,12,15} {
\node[c,fit=(\x)] at (\x) {};
}
%% Braces
% Length 2
\foreach \x [evaluate=\x as \y using int(\x + 1)]
in {5,13} {
\node (b\x-1) at ($(\x) + (-0.5*\h,-\v)$) {};
\node (b\x-2) at ($(\y) + (0.5*\h,-\v)$) {};
\draw [b] (b\x-2) -- node [label={[yshift=-\l] $d-1$}] {} (b\x-1);
}
% Length 3
\node (b1-1) at ($(1) + (-0.5*\h,-\v)$) {};
\node (b1-2) at ($(3) + (0.5*\h,-\v)$) {};
\draw [b] (b1-2) -- node [label={[yshift=-\l] $d-1$}] {} (b1-1);
% Length 4
\node (b16-2) at ($(19') + (0.5*\h,-\v)$) {};
\node (b16-1) at ($(b16-2) - (4*\h,0)$) {};
\draw [b] (b16-2) -- node [label={[yshift=-\l] $n-rd$}] {} (b16-1);
\end{tikzpicture}
\end{document}
Captions
Add a one-line explanation of what this file represents
== Summary == {{Information | description = The Tits index of type <sup>2</sup>D<sub>''n''</sub>, created using tikz. | source = {{Citation | ref=harv | last1=Tits | first1=Jacques | author-link = Jacques Tits | title=Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965) | publisher=American Mathematical Society | location=Providence, R.I. |mr=0224710 | year=1966 | chapter=Classification of algebraic semisimple groups | pages=33–62}} | ...