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- documentclass{article}
- usepackage[utf8]{inputenc}
- usepackage[T1]{fontenc}
- usepackage[full]{textcomp}
- usepackage{tikz}
- usetikzlibrary{calc}
- usetikzlibrary{cd,positioning,shapes}
- usetikzlibrary{decorations.pathmorphing}
- usetikzlibrary{decorations.markings}
- begin{document}
- Let $Delta$ be a connected Dynkin diagram, and
- let $Delta^+$ be the extended (or affine)
- Dynkin diagram associated with~$Delta$.
- Then $Delta^+ = Delta sqcup {alpha_0}$.
- Below we depict the connected extended Dynkin diagrams,
- in which $alpha_0$ is depicted by a grey node
- tikz node[draw,circle,inner sep=2pt,fill=gray] {};.
- [
- begin{tikzpicture}[
- yscale=-1.3,
- every node/.style={draw,circle,inner sep=2pt},
- every label/.append style={rectangle,font=footnotesize,
- inner sep=1ex,text depth=1pt},
- decoration={markings},
- doubledynkin/.style={double distance=2pt,postaction=decorate},
- a0/.style={fill=gray}
- ]
- node[draw=none] (A1text) [label=right:{normalsize$A_1^+$:}] at (-.5,0) {};
- node[a0] (A10) at (1,0) {};
- node (A11) at (2,0) {};
- draw[double distance=2pt,
- decoration={
- mark=at position 0.95 with {arrow{>}},
- mark=at position 0.36 with {arrow{<}}
- },
- postaction=decorate] (A10) -- (A11);
- begin{scope}[xshift=5cm]
- node[draw=none] (Antext) [label=right:{normalsize$A_n^+$ ($n ge 2$):}] at (-1.5,0) {};
- node[a0] (An0) at (3,-0.7) {};
- node (An1) at (1,0) {};
- node (An2) at (2,0) {};
- node (Annm1) at (4,0) {};
- node (Ann) at (5,0) {};
- draw (Annm1) -- (Ann) -- (An0) -- (An1) -- (An2);
- draw[dashed] (An2) -- (Annm1);
- end{scope}
- end{tikzpicture}
- ]
- end{document}
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