File:PSU-PU.svg
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Size of this PNG preview of this SVG file: 394 × 253 pixels. Other resolutions: 320 × 205 pixels | 640 × 411 pixels | 1,024 × 658 pixels | 1,280 × 822 pixels | 2,560 × 1,644 pixels.
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:
|
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.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 21:09, 6 January 2008 | | 394 × 253 (52 KB) | wikimediacommons>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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