File:Tits index 2E6,0;78.svg
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Original file (SVG file, nominally 111 × 40 pixels, file size: 4 KB)
Summary
| Description | |
| 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 |
| Author | David Schwein |
| SVG development |
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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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) {};
\node[n] (2) at (\h,0) {};
\foreach \x in {3,4} {
\node[n] (\x) at (\x*\h-\h,\v) {};
\node[n] (\x') at (\x*\h-\h,-\v) {};
}
%% Edges
\draw (1.center) -- (2.center);
\draw (2.center) to [out=45,in=180] (3.center);
\draw (2.center) to [out=-45,in=180] (3'.center);
\draw (3.center) -- (4.center);
\draw (3'.center) -- (4'.center);
\end{tikzpicture}
\end{document}
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:36, 26 June 2018 | | 111 × 40 (4 KB) | David Schwein | == Summary == {{Information | description = The Tits index of type <sup>2</sup>E{{su|p=78|b=6,0}}, 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}} |... |
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