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Diffstat (limited to 'Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex')
| -rw-r--r-- | Master/texmf-dist/doc/latex/dynkin-diagrams/dynkin-diagrams.tex | 146 |
1 files changed, 76 insertions, 70 deletions
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 22d55fdbd5d..f8809d567d4 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 +1,7 @@ \documentclass{amsart} \title[The Dynkin diagrams package]% -{The Dynkin diagrams package \\ Version 3.1415926535} +{The Dynkin diagrams package \\ +Version 3.14159265358} %% My name: \makeatletter \DeclareRobustCommand{\scotsMc}{\scotsMcx{c}} @@ -19,7 +20,7 @@ \author{Ben \scotsMc{}Kay} \address{School of Mathematical Sciences, University College Cork, Cork, Ireland} \email{b.mckay@ucc.ie} -\date{2 February 2020} +\date{18 February 2020} \usepackage{etex} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenx} @@ -572,7 +573,10 @@ E6{1,1,1,1,1,1}{1,2,3,5,,4}, \dynkin[ edge/.style={blue!50,thick}, */.style=blue!50!red, - arrow color=red]{F}{4} + arrow style=red]{F}{4} +\end{tcblisting} +\begin{tcblisting}{title={Arrow shapes}} +\dynkin[arrow shape/.style={-{Stealth[blue,width=3mm]}}] F4 \end{tcblisting} \begin{tcblisting}{title={Edge lengths}} The Dynkin diagram of \(A_3\) is \dynkin[edge length=1.2]A3 @@ -1730,65 +1734,6 @@ The environment syntax is \verb!\begin{dynkinDiagram}! followed by the same para \multicolumn{2}{c}{continued \dots}\\ \endfoot \endlastfoot -\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{edge label/.style}{TikZ style data}{text height=0,text depth=0,label distance=-2pt} -& style of edge labels in the Dynkin diagram, as found, for example, on some Coxeter diagrams \\ -\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} -& A parabolic subgroup with specified integer, where the integer -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{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,*}{*} -& default root mark for root zero in an affine Dynkin diagram \\ -\optionLabel{label}{true or false}{false} -& whether to label the roots according to the current labelling scheme. \\ -\optionLabel{label macro}{\typ{1-parameter \TeX{} macro}}{\texttt{\#1}} -& the current labelling scheme for roots. \\ -\optionLabel{label macro*}{\typ{1-parameter \TeX{} macro}}{\texttt{\#1}} -& the current labelling scheme for alternate roots. \\ -\optionLabel{label height}{\typ{1-parameter \TeX{} macro}}{b} -& the current maximal height of text labels for the roots, set by giving mathematics text of that height. \\ -\optionLabel{label depth}{\typ{1-parameter \TeX{} macro}}{g} -& the current maximal depth of text labels for the roots, set by giving mathematics text of that depth. \\ -\optionLabel{make indefinite edge}{\typ{edge pair \(i\)-\(j\) or list of such}}{\{\}} -& 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}}{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. \\ -\optionLabel{upside down}{\typ{true or false}}{false} -& whether to reverse up to down. \\ -\optionLabel{arrows}{\typ{true or false}}{true} -& whether to draw the arrows that arise along the edges. \\ -\optionLabel{reverse arrows}{\typ{true or false}}{true} -& whether to reverse the direction of the arrows that arise along the edges. \\ -\optionLabel{fold}{\typ{true or false}}{true} -& whether, when drawing Dynkin diagrams, to draw them 2-ply. \\ -\optionLabel{ply}{\typ{0,1,2,3,4}}{0} -& how many roots get folded together, at most. \\ -\optionLabel{fold left}{\typ{true or false}}{true} -& whether to fold the roots on the left side of a Dynkin diagram. \\ -\optionLabel{fold right}{\typ{true or false}}{true} -& 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/.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}}{solid,draw=black,fill=black} & style for roots like \dynkin{A}{*} \\ \optionLabel{o/.style}{\typ{TikZ style data}}{solid,draw=black,fill=white} @@ -1801,10 +1746,20 @@ is computed as \(n=\sum 2^{i-1} a_i\), \(a_i=0\) or \(1\), to say that root \(i\ & style for roots like \dynkin{A}{x} \\ \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 \\ -\optionLabel{fold right style/.style}{\typ{TikZ style data}}{} -& style to override the \texttt{fold} style when folding roots together on the right half of a Dynkin diagram \\ +\optionLabel{affine mark}{o,O,t,x,X,*}{*} +& default root mark for root zero in an affine Dynkin diagram \\ +\optionLabel{arrow shape/.style}{TikZ style data}{-\{Computer Modern Rightarrow[black]\}} +& shape of arrow heads for most Dynkin diagrams that have arrows.\\ +\optionLabel{arrow style}{TikZ style data}{black} +& set to override the default style for the arrows in nonsimply laced Dynkin diagrams, including length, width, line width and color \\ +\optionLabel{arrows}{\typ{true or false}}{true} +& whether to draw the arrows that arise along the edges. \\ +\optionLabel{backwards}{\typ{true or false}}{false} +& whether to reverse right to left. \\ +\optionLabel{ceref}{\typ{true or false}}{false} +& whether to draw roots in a ``ceref'' style. \\ +\optionLabel{Coxeter}{\typ{true or false}}{false} +& whether to draw a Coxeter diagram, rather than a Dynkin diagram. \\ \optionLabel{double edges}{\typ{}}{not set} & set to override the \texttt{fold} style when folding roots together in a Dynkin diagram, so that the foldings are indicated with double edges (like those of an \(F_4\) Dynkin diagram without arrows). \\ @@ -1820,12 +1775,63 @@ are indicated with double edges (like those of an \(F_4\) Dynkin diagram without \optionLabel{double fold right}{\typ{}}{not set} & set to override the \texttt{fold} style when folding roots together at the right side of a Dynkin diagram, so that the foldings are indicated with double edges (like those of an \(F_4\) Dynkin diagram without arrows), but filled in solidly. \\ -\optionLabel{arrow color}{\typ{}}{black} -& set to override the default color for the arrows in nonsimply laced Dynkin diagrams. \\ -\optionLabel{Coxeter}{\typ{true or false}}{false} -& whether to draw a Coxeter diagram, rather than a Dynkin diagram. \\ +\optionLabel{edge label/.style}{TikZ style data}{text height=0,text depth=0,label distance=-2pt} +& style of edge labels in the Dynkin diagram, as found, for example, on some Coxeter diagrams \\ +\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{fold}{\typ{true or false}}{true} +& whether, when drawing Dynkin diagrams, to draw them 2-ply. \\ +\optionLabel{fold left}{\typ{true or false}}{true} +& whether to fold the roots on the left 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 right}{\typ{true or false}}{true} +& whether to fold the roots on the right side of a Dynkin diagram. \\ +\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 \\ +\optionLabel{fold right style/.style}{\typ{TikZ style data}}{} +& style to override the \texttt{fold} style when folding roots together on the right half of a Dynkin diagram \\ +\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{indefinite edge ratio}{\typ{float}}{1.6} +& ratio of indefinite edge lengths to other edge lengths. \\ +\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{Kac}{\typ{true or false}}{false} +& whether to draw in the style of \cite{Kac:1990} \\ +\optionLabel{label}{true or false}{false} +& whether to label the roots according to the current labelling scheme. \\ +\optionLabel{label macro}{\typ{1-parameter \TeX{} macro}}{\texttt{\#1}} +& the current labelling scheme for roots. \\ +\optionLabel{label macro*}{\typ{1-parameter \TeX{} macro}}{\texttt{\#1}} +& the current labelling scheme for alternate roots. \\ +\optionLabel{label height}{\typ{1-parameter \TeX{} macro}}{b} +& the current maximal height of text labels for the roots, set by giving mathematics text of that height. \\ +\optionLabel{label depth}{\typ{1-parameter \TeX{} macro}}{g} +& the current maximal depth of text labels for the roots, set by giving mathematics text of that depth. \\ +\optionLabel{make indefinite edge}{\typ{edge pair \(i\)-\(j\) or list of such}}{\{\}} +& edge pair or list of edge pairs to treat as having indefinitely many roots on them. \\ +\optionLabel{mark}{\typ{o,O,t,x,X,*}}{*} +& default root mark \\ +\optionLabel{name}{\typ{string}}{anonymous} +& A name for the Dynkin diagram, with \texttt{anonymous} treated as a blank; see section~\ref{section:name}. \\ \optionLabel{ordering}{\typ{Adams, Bourbaki, Carter, Dynkin, Kac}}{Bourbaki} & which ordering of the roots to use in exceptional root systems as in section~\ref{section:order}. \\ +\optionLabel{parabolic}{\typ{integer}}{0} +& A parabolic subgroup with specified integer, where the integer +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{ply}{\typ{0,1,2,3,4}}{0} +& how many roots get folded together, at most. \\ +\optionLabel{reverse arrows}{\typ{true or false}}{true} +& whether to reverse the direction of the arrows that arise along the edges. \\ +\optionLabel{root radius}{\typ{number}cm}{.05cm} +& size of the dots and of the crosses in the Dynkin diagram \\ +\optionLabel{text style}{\typ{TikZ style data}}{scale=.7} +& Style for any labels on the roots. \\ +\optionLabel{upside down}{\typ{true or false}}{false} +& whether to reverse up to down. \\ \end{longtable} \par\noindent{}All other options are passed to TikZ. |