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Diffstat (limited to 'Master/texmf-dist/doc/latex/dynkin-diagrams')
| -rw-r--r-- | Master/texmf-dist/doc/latex/dynkin-diagrams/README | 7 | ||||
| -rw-r--r-- | Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf | bin | 728094 -> 746174 bytes | |||
| -rw-r--r-- | Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex | 124 |
3 files changed, 75 insertions, 56 deletions
diff --git a/Master/texmf-dist/doc/latex/dynkin-diagrams/README b/Master/texmf-dist/doc/latex/dynkin-diagrams/README index c636f063a80..68fdc4fdc9e 100644 --- a/Master/texmf-dist/doc/latex/dynkin-diagrams/README +++ b/Master/texmf-dist/doc/latex/dynkin-diagrams/README @@ -2,9 +2,9 @@ ___________________________________ Dynkin diagrams - v3.1415 + v3.14159 - 18 December 2018 + 21 January 2019 ___________________________________ Authors : Ben McKay @@ -16,5 +16,6 @@ Licence : Released under the LaTeX Project Public License v1.3c or ---------------------------------------------------------------------- Draws Dynkin diagrams in LaTeX documents, using the TikZ package. -Version 3.1415 allows use of hyphens in option names, so that they can be used as global options to the package. +Version 3.14159 adds ceref style, fixes problems with folding in Kac style, and ensures that the diagrams, by default, remain drawn solidly, even if the ambient TikZ diagram is not. + diff --git a/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf b/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf Binary files differindex aa798bfe73d..0224ad22727 100644 --- a/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf +++ b/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.pdf diff --git a/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex b/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex index 18627906ac4..b3c41ac7af1 100644 --- a/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex +++ b/Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex @@ -1,6 +1,6 @@ \documentclass{amsart} -\title{The Dynkin diagrams package \\ Version 3.1415} +\title{The Dynkin diagrams package \\ Version 3.14159} \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{18 December 2018} +\date{21 January 2019} \usepackage{etex} \usepackage[T1]{fontenc} @@ -321,7 +321,7 @@ shorten <=1mm,shorten >=1mm,}} \begin{dynkinDiagram}[ply=4]{D}[1]% {****.*****.*****} \dynkinFold{1}{13} - \dynkinFold[bend right=65]{0}{14} + \dynkinFold[bend right=90]{0}{14} \end{dynkinDiagram} \end{tcblisting} @@ -333,7 +333,7 @@ segment length=1mm,amplitude=.6mm}}} \begin{dynkinDiagram}[ply=4]{D}[1]% {****.*****.*****} \dynkinFold{1}{13} - \dynkinFold[bend right=65]{0}{14} + \dynkinFold[bend right=90]{0}{14} \end{dynkinDiagram} \end{tcblisting} @@ -959,6 +959,48 @@ We include a style called \verb!Kac! which tries to imitate the style of \cite{K \end{dynkinTable} \endgroup +\section{Ceref style} +We include a style called \verb!ceref! which shapes the root markers more oblongly and with shadows. +The word ``ceref'' is an old form of the word ``serif''. +\begin{tcblisting}{title={Ceref style}} +\dynkin[ceref]{F}{4} +\end{tcblisting} +\begingroup +\pgfkeys{/Dynkin diagram,ceref} +\begin{dynkinTable}{The Dynkin diagrams of the simple root systems in ceref style}{5cm}{4.5cm} +\dyn{A}{} +\dyn{B}{} +\dyn{C}{} +\dyn{D}{} +\dyn{E}{6} +\dyn{E}{7} +\dyn{E}{8} +\dyn{F}{4} +\dyn{G}{2} +\end{dynkinTable} +\begin{dynkinTable}{The Dynkin diagrams of the extended simple root systems in ceref style}{5cm}{4.5cm} +\dyn[extended]{A}{1} +\dyn[extended]{A}{} +\dyn[extended]{B}{} +\dyn[extended]{C}{} +\dyn[extended]{D}{} +\dyn[extended]{E}{6} +\dyn[extended]{E}{7} +\dyn[extended]{E}{8} +\dyn[extended]{F}{4} +\dyn[extended]{G}{2} +\end{dynkinTable} +\begin{dynkinTable}{The Dynkin diagrams of the twisted simple root systems in ceref style}{6cm}{4.5cm} +\dyn{A}[2]{2} +\dyn{A}[2]{even} +\dyn{A}[2]{odd} +\dyn{D}[2]{} +\dyn{E}[2]{6} +\dyn{D}[3]{4} +\end{dynkinTable} +\endgroup + + \section{Folded Dynkin diagrams} The Dynkin diagrams package has limited support for folding Dynkin diagrams. \begin{tcblisting}{title={Folding}} @@ -992,8 +1034,8 @@ We have to be careful about the 4-ply foldings of \(D^{(1)}_{2\ell}\), for which \dynkin[ply=4]{D}[1]{****.*****.*****}% \ \begin{dynkinDiagram}[ply=4]{D}[1]{****.*****.*****}% - \dynkinFold[bend right=65]{1}{13}% - \dynkinFold[bend right=65]{0}{14}% + \dynkinFold[bend right=90]{1}{13}% + \dynkinFold[bend right=90]{0}{14}% \end{dynkinDiagram} \ \begin{dynkinDiagram}[ply=4]{D}[1]{****.*****.*****}% \dynkinFold{0}{1}% @@ -1035,8 +1077,8 @@ We have to be careful about the 4-ply foldings of \(D^{(1)}_{2\ell}\), for which \begin{filecontents*}{DoneTwoElBendy.tex} \begin{dynkinDiagram}[ply=4]{D}[1]% {****.*****.*****} - \dynkinFold[bend right=65]{1}{13} - \dynkinFold[bend right=65]{0}{14} + \dynkinFold[bend right=90]{1}{13} + \dynkinFold[bend right=90]{0}{14} \end{dynkinDiagram} \end{filecontents*} \begin{filecontents*}{DoneTwoElStraight.tex} @@ -1248,7 +1290,7 @@ edge/.style={draw=example-color,double=black,very thick}} \({}^1 D_4\) 4-ply tied bending: \begin{dynkinDiagram}[ply=4]{D}[1]% {****.*****.*****} - \dynkinFold[bend right=65]{1}{13} + \dynkinFold{1}{13} \dynkinFold[bend right=65]{0}{14} \dynkinLabelRoots{0,...,14} \dynkinLabelRoots*{0,...,14} @@ -1508,7 +1550,7 @@ Below we draw the Vogan diagrams of some affine Lie superalgebras \cite{Ransingh \end{Category} \endgroup - +\section{Example: the complex simple Lie algebras} \begin{filecontents*}{simple-lie-algebras.tex} \NewDocumentEnvironment{bunch}{}% {\renewcommand*{\arraystretch}{1}\begin{array}{@{}ll@{}}\\ \midrule}{\\ \midrule\end{array}} @@ -1551,6 +1593,7 @@ G_2&\dynkin{G}{2}&\W[\sum e_j]{3}& \endgroup \VerbatimInput{simple-lie-algebras.tex} +\section{An example of Mikhail Borovoi} \begin{filecontents*}{borovoi.tex} \tikzset{big arrow/.style={ -Stealth,line cap=round,line width=1mm, @@ -1614,8 +1657,14 @@ The environment syntax is \verb!\begin{dynkinDiagram}! followed by the same para \multicolumn{2}{c}{continued \dots}\\ \endfoot \endlastfoot -\optionLabel{text/.style}{\typ{TikZ style data}}{scale=.7} -& Style for any labels on the roots. \\ +\optionLabel{ceref}{\typ{true or false}}{false} +& whether to draw roots in a ``ceref'' style. \\ +\optionLabel{edge length}{\typ{number}cm}{.35cm} +& distance between nodes in the Dynkin diagram \\ +\optionLabel{edge/.style}{TikZ style data}{solid,draw=black,fill=white,thin} +& style of edges in the Dynkin diagram \\ +\optionLabel{Kac}{\typ{true or false}}{false} +& whether to draw in the style of \cite{Kac:1990} \\ \optionLabel{name}{\typ{string}}{anonymous} & A name for the Dynkin diagram, with \texttt{anonymous} treated as a blank; see section~\ref{section:name}. \\ \optionLabel{parabolic}{\typ{integer}}{0} @@ -1623,10 +1672,8 @@ The environment syntax is \verb!\begin{dynkinDiagram}! followed by the same para is computed as \(n=\sum 2^{i-1} a_i\), \(a_i=0\) or \(1\), to say that root \(i\) is crossed, i.e. a noncompact root. \\ \optionLabel{root radius}{\typ{number}cm}{.05cm} & size of the dots and of the crosses in the Dynkin diagram \\ -\optionLabel{edge length}{\typ{number}cm}{.35cm} -& distance between nodes in the Dynkin diagram \\ -\optionLabel{edge/.style}{TikZ style data}{thin} -& style of edges in the Dynkin diagram \\ +\optionLabel{text/.style}{\typ{TikZ style data}}{scale=.7} +& Style for any labels on the roots. \\ \optionLabel{mark}{\typ{o,O,t,x,X,*}}{*} & default root mark \\ \optionLabel{affine mark}{o,O,t,x,X,*}{*} @@ -1641,7 +1688,7 @@ is computed as \(n=\sum 2^{i-1} a_i\), \(a_i=0\) or \(1\), to say that root \(i\ & edge pair or list of edge pairs to treat as having indefinitely many roots on them. \\ \optionLabel{indefinite edge ratio}{\typ{float}}{1.6} & ratio of indefinite edge lengths to other edge lengths. \\ -\optionLabel{indefinite edge/.style}{\typ{TikZ style data}}{draw=black,fill=white,thin,densely dotted} +\optionLabel{indefinite edge/.style}{\typ{TikZ style data}}{solid,draw=black,fill=white,thin,densely dotted} & style of the dotted or dashed middle third of each indefinite edge. \\ \optionLabel{backwards}{\typ{true or false}}{false} & whether to reverse right to left. \\ @@ -1661,19 +1708,19 @@ is computed as \(n=\sum 2^{i-1} a_i\), \(a_i=0\) or \(1\), to say that root \(i\ & whether to fold the roots on the right side of a Dynkin diagram. \\ \optionLabel{fold radius}{\typ{length}}{.3cm} & the radius of circular arcs used in curved edges of folded Dynkin diagrams. \\ -\optionLabel{fold style}{\typ{TikZ style data}}{draw=black!40,fill=none,line width=radius} +\optionLabel{fold style/.style}{\typ{TikZ style data}}{solid,draw=black!40,fill=none,line width=radius} & when drawing folded diagrams, style for the fold indicators. \\ -\optionLabel{*/.style}{\typ{TikZ style data}}{draw=black,fill=black} +\optionLabel{*/.style}{\typ{TikZ style data}}{solid,draw=black,fill=black} & style for roots like \dynkin{A}{*} \\ -\optionLabel{o/.style}{\typ{TikZ style data}}{draw=black,fill=black} +\optionLabel{o/.style}{\typ{TikZ style data}}{solid,draw=black,fill=black} & style for roots like \dynkin{A}{o} \\ -\optionLabel{O/.style}{\typ{TikZ style data}}{draw=black,fill=black} +\optionLabel{O/.style}{\typ{TikZ style data}}{solid,draw=black,fill=black} & style for roots like \dynkin{A}{O} \\ -\optionLabel{t/.style}{\typ{TikZ style data}}{draw=black,fill=black} +\optionLabel{t/.style}{\typ{TikZ style data}}{solid,draw=black,fill=black} & style for roots like \dynkin{A}{t} \\ -\optionLabel{x/.style}{\typ{TikZ style data}}{draw=black,line cap=round} +\optionLabel{x/.style}{\typ{TikZ style data}}{solid,draw=black,line cap=round} & style for roots like \dynkin{A}{x} \\ -\optionLabel{X/.style}{\typ{TikZ style data}}{draw=black,thick,line cap=round} +\optionLabel{X/.style}{\typ{TikZ style data}}{solid,draw=black,thick,line cap=round} & style for roots like \dynkin{A}{X} \\ \optionLabel{fold left style/.style}{\typ{TikZ style data}}{} & style to override the \texttt{fold} style when folding roots together on the left half of a Dynkin diagram \\ @@ -1703,35 +1750,6 @@ are indicated with double edges (like those of an \(F_4\) Dynkin diagram without \end{longtable} \par\noindent{}All other options are passed to TikZ. -\section{Changes in the latest version}\label{section:changes} -\begin{center} -\begin{tabular}{@{}>{\ttfamily}r>{\ttfamily}l>{\ttfamily}l@{}} -\textrm{was} & \textrm{is} & \textrm{or as a global option} \\ \midrule -edgeLength&edge length&edge-length\\ -radius&root radius&root-radius\\ -affineMark&affine mark&affine-mark\\ -labelMacro&label macro&label-macro\\ -makeIndefiniteEdge&make indefinite edge&make-indefinite-edge\\ -indefiniteEdgeRatio&indefinite edge ratio&indefinite-edge-ratio\\ -indefiniteEdge&indefinite edge&indefinite-edge\\ -reverseArrows&reverse arrows&reverse-arrows\\ -foldLeft&fold left&fold-left\\ -foldRight&fold right&fold-right\\ -foldradius&fold radius&fold-radius\\ -foldStyle&fold style&fold-style\\ -leftFoldStyle&fold left style&fold-left-style\\ -rightFoldStyle&fold right style&fold-right-style\\ -doubleEdges&double edges&double-edges\\ -doubleFold&double fold&double-fold\\ -doubleLeft&double left&double-left\\ -doubleLeftFold&double fold left&double-fold-left\\ -doubleRight&double right&double-right\\ -doubleRightFold&double fold right&double-fold-right\\ -arrowColor&arrow color&arrow-color\\ -\end{tabular} -\end{center} - - \nocite{*} \bibliographystyle{amsplain} \bibliography{dynkin-diagrams} |