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-rw-r--r--graphics/pgf/contrib/dynkin-diagrams/dynkin-diagrams.tex19
1 files changed, 14 insertions, 5 deletions
diff --git a/graphics/pgf/contrib/dynkin-diagrams/dynkin-diagrams.tex b/graphics/pgf/contrib/dynkin-diagrams/dynkin-diagrams.tex
index b11488ffdd..5685bbe4a5 100644
--- a/graphics/pgf/contrib/dynkin-diagrams/dynkin-diagrams.tex
+++ b/graphics/pgf/contrib/dynkin-diagrams/dynkin-diagrams.tex
@@ -1,6 +1,6 @@
\documentclass{amsart}
-\title{The Dynkin diagrams package \\ Version 3.1415926}
+\title{The Dynkin diagrams package \\ Version 3.14159265}
\makeatletter
\DeclareRobustCommand{\scotsMc}{\scotsMcx{c}}
@@ -20,7 +20,7 @@
\author{Ben \scotsMc{}Kay}
\address{School of Mathematical Sciences, University College Cork, Cork, Ireland}
\email{b.mckay@ucc.ie}
-\date{25 November 2019}
+\date{26 November 2019}
\usepackage{etex}
\usepackage[T1]{fontenc}
@@ -262,6 +262,7 @@ You can also pass options to the package in \verb!\usepackage!.
\end{dynkinTable}
+\newpage
\section{Satake diagrams}\label{section:Satake}
\begin{tcblisting}{title={Satake diagrams use the standard name instead of a rank}}
@@ -310,6 +311,8 @@ We use a solid gray bar to denote the folding of a Dynkin diagram, rather than t
\end{dynkinDiagram}
\end{tcblisting}
+\newpage
+
\begin{tcblisting}{title={The double arrows for \(A_{IIIa}\) are big}}
\newcommand{\invol}[2]{\draw[latex-latex] (root #1) to
[out=-60,in=-120] node[midway,below]{$\sigma$} (root #2);}
@@ -329,6 +332,8 @@ shorten <=1mm,shorten >=1mm,}}
\end{dynkinDiagram}
\end{tcblisting}
+\newpage
+
\begin{tcblisting}{title={\dots but you could try springs pulling roots together}}
\tikzset{/Dynkin diagram/fold style/.style=
{decorate,decoration={name=coil,aspect=0.5,
@@ -372,6 +377,7 @@ segment length=1mm,amplitude=.6mm}}}
\node[below] at (root 2) {\(\alpha_{\mathrlap{2}}\)};
\end{dynkinDiagram}
\end{tcblisting}
+\newpage
\begin{tcblisting}{title={Commands to label several roots}}
\begin{dynkinDiagram}{A}{7}
\dynkinLabelRoots{,\alpha_2,\alpha_3,\alpha_4,\alpha_5,,\alpha_7}
@@ -390,6 +396,7 @@ label macro*/.code={\gamma_{\mathrlap{#1}}},
labels={,2,...,5,,7},
labels*={1,3,4,5,6}]{A}{7}
\end{tcblisting}
+\newpage
\begin{tcblisting}{title={Commands to label several roots}}
\begin{dynkinDiagram}{A}{7}
\dynkinLabelRoots{,\alpha_2,\alpha_3,\alpha_4,\alpha_5,,\alpha_7}
@@ -405,7 +412,7 @@ Note the slight improvement that \verb!\mathrlap! makes: the labels are centered
\dynkin[label,label macro/.code={\alpha_{\mathrlap{#1}}},edge length=.75cm]{D}{15}
\end{tcblisting}
-
+\newpage
\section{Height and depth of labels}
Labels are set with default maximum height the height of the character \(b\), and default maximum depth the depth of the character \(g\).
To change these, set \verb!label height! and \verb!label depth!:
@@ -541,6 +548,7 @@ label macro/.code={\mathbb{A}_{\mathrlap{#1}}}]{A}{}
\begin{tcblisting}{title={Edge lengths}}
The Dynkin diagram of \(A_3\) is \dynkin[edge length=1.2,parabolic=3]{A}{3}
\end{tcblisting}
+\newpage
\begin{tcblisting}{title={Root marks}}
\dynkin{E}{8}
\dynkin[mark=*]{E}{8}
@@ -611,7 +619,6 @@ The parabolic subgroup \(E_{8,124}\) is \dynkin[parabolic=124,x/.style={brown,ve
\section{Drawing on top of a Dynkin diagram}
-
\begin{tcblisting}{title={TikZ can access the roots themselves}}
\begin{dynkinDiagram}{A}{4}
\fill[white,draw=black] (root 2) circle (.15cm);
@@ -619,6 +626,7 @@ The parabolic subgroup \(E_{8,124}\) is \dynkin[parabolic=124,x/.style={brown,ve
\draw[black] (root 2) circle (.05cm);
\end{dynkinDiagram}
\end{tcblisting}
+\newpage
\begin{tcblisting}{title={Draw curves between the roots}}
\begin{dynkinDiagram}[label]{E}{8}
\draw[very thick, black!50,-latex]
@@ -814,7 +822,7 @@ D_4 &
-
+\newpage
\section{Parabolic subgroups}
Each set of roots is assigned a number, with each binary digit zero or one to say whether the corresponding root is crossed or not:
@@ -992,6 +1000,7 @@ We include a style called \verb!Kac! which tries to imitate the style of \cite{K
\dyn[extended]{F}{4}
\dyn[extended]{G}{2}
\end{dynkinTable}
+\newpage
\begin{dynkinTable}{The Dynkin diagrams of the twisted simple root systems in Kac style}{6cm}{4.5cm}
\dyn{A}[2]{2}
\dyn{A}[2]{even}