File:SO-O-PSO-PO-2k.svg

Summary

See also

LaTeX source

Created as per: en:meta:Help:Displaying a formula#Commutative diagrams.

\documentclass{amsart}
\usepackage[all, ps]{xy} % Loading the XY-Pic package
                         % Using postscript driver for smoother curves
\usepackage{color}       % For invisible frame
\begin{document}
\thispagestyle{empty} % No page numbers
\SelectTips{eu}{}     % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin

\xymatrix@=6pt{ 
&\{\pm I\}
  \ar@{^(->}@/_1pc/[ddl]
  \ar@{_(->}@/^1pc/[ddr]
\\ \\
   \operatorname{SO}(2k) \ar@{->>}[dd] \ar@{^(->}[rr]
 &&\operatorname{O}(2k)  \ar@{->>}[dd] \ar@{->>}@/^1pc/[rrd]^{\det}
\\
 &&                                                             &&\{\pm 1\}
\\
   \operatorname{PSO}(2k)              \ar@{^(->}[rr]
 &&\operatorname{PO}(2k)               \ar@{->>}@/_1pc/[rru]^{\det}
}

$$}}} % end math, end frame
\end{document}

Licensing

Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
Public domain This work has been released into the public domain by its author, Nils R. Barth. This applies worldwide.
In some countries this may not be legally possible; if so:
Nils R. Barth grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
Category:Self-published work#SO-O-PSO-PO-2k.svgCategory:PD-self#SO-O-PSO-PO-2k.svgCategory:Self-published work
Category:Lie groups Category:SVG commutative diagrams Category:Xy-pic graphics Category:Images with LaTeX source code
Category:Images with LaTeX source code Category:Lie groups Category:PD-self Category:SVG commutative diagrams Category:Self-published work Category:Unspec New SVG created with Inkscape Category:Unspec SVG created with Inkscape Category:Xy-pic graphics