File:An-spin-representation.svg
Summary
| Description |
English: Commutative diagram showing a spin representation of the double cover of the alternating group. |
| Date | |
| Source | Own work |
| Author | Nils R. Barth |
| Permission (Reusing this file) |
Released into the public domain (by the author). |
TeX source
TeX source, produced as detailed at 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}$$ % Frame for margin
\xymatrix@=6pt{
&\{\pm 1\}
\ar@{^(->}@/_1pc/[ddl]
\ar@{_(->}@/^1pc/[ddr]
\\ \\
2 \cdot A_n \ar@{->>}[dd] \ar@{^(->}[rr]
&&\operatorname{Spin}(n-1) \ar@{->>}[dd]
\\
&&
\\
A_n \ar@{^(->}[rr]
&&\operatorname{SO}(n-1)
}
$$}}} % end math, end frame
\end{document}
Licensing
  |
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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