Image:PSU-PU.svg

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PSU-PU.svg‎ (SVG file, nominally 394 × 253 pixels, file size: 52 KB)

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[edit] Summary

Description
English: Commutative diagram, showing the projective special unitary group and projective unitary group, presented as (sub)quotients of the unitary group.
Source

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

\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}
Date

2007-11-25 (first version); 2007-11-25 (last version)
Author

Nils R. Barth
Permission
(Reusing this image)
Nils R. Barth, the copyright holder of this work, has published or hereby publishes it under the following license:
Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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[edit] Original upload log

The original description page is/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.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeDimensionsUserComment
current19:09, 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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