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Original file (SVG file, nominally 394 × 253 pixels, file size: 52 KB)

Summary

Description
English: Commutative diagram, showing the projective special unitary group and projective unitary group, presented as (sub)quotients of the unitary group.
Date 25 November 2007 (original upload date)
Source Own work, created as per: Help:Displaying a formula: Commutative diagrams; source code below.
Author Nils R. Barth
Permission
(Reusing this file)
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

TeX source

\documentclass{amsart}
\usepackage[all, ps, dvips]{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{ %Our diagram is a 3x3 matrix
\mathbf{Z}/n \ar@{^(->}[d]\ar@{^(->}[r]
  & U(1) \ar@{^(->}[d]\ar@{->>}[r]^{z^n}
  & U(1) \ar[d]^\wr\\
SU(n)    \ar@{->>}[d]\ar@{^(->}[r]
  & U(n) \ar@{->>}[d]\ar@{->>}[r]^{\det}
  & U(1)\\
PSU(n)   \ar[r]^\sim
  & PU(n)
}

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

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2007-11-25 20:55 Nbarth 394×253×0 (53021 bytes) Updated to increase default size.
  • 2007-11-25 20:10 Nbarth 160×104×0 (50669 bytes) Updated to increase margin.
  • 2007-11-25 19:46 Nbarth 145×93×0 (50906 bytes) Commutative diagram, showing the projective special unitary group and projective unitary group, presented as (sub)quotients the unitary group.

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25 November 2007

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Date/TimeThumbnailDimensionsUserComment
current19:09, 6 January 2008Thumbnail for version as of 19:09, 6 January 2008394 × 253 (52 KB)Nbarth{{Information |Description={{en|Commutative diagram, showing the projective special unitary group and projective unitary group, presented as (sub)quotients the unitary group.}} |Source=en:SVG created as per: [[:en:meta:Help:Displaying_a_formula#Commu

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