File:Clifford algebra diagram.png

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Clifford_algebra_diagram.png(310 × 204 pixels, file size: 4 KB, MIME type: image/png)

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Summary[edit]

Description
English: A diagram showing the universal property of Clifford algebra: given an associative algebra A, there is only one algebra homomorphism for which the diagram commutes.
Italiano: Un diagramma che mostra la proprietà universale dell'algebra di Clifford: data un'algebra associativa A, esiste un unico omomorfismo di algebre per cui il diagramma è commutativo.
Date 01/06/2007
Source Own work, created as per: en:meta:Help:Displaying a formula#Commutative diagrams; source code below.
Author Luke Antony

Latex source code[edit]

(Uses Xy-pic):

\documentclass{article}
\usepackage[all]{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{
V \ar[r]^-{i} \ar[rd]^j & C\ell(V,Q) \ar@{-->}^f[d] \\
                             & A
}

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

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported, 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
You may select the license of your choice.

File history

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Date/TimeThumbnailDimensionsUserComment
current15:41, 1 June 2008Thumbnail for version as of 15:41, 1 June 2008310 × 204 (4 KB)Luca Antonelli (talk | contribs){{Information |Description={{en|1=A diagram showing the universal property of Clifford algebra: given an associative algebra A, there is only one algebra omomorphism for which the diagram commutes.}} {{it|1=Un diagramma che mostra la proprietà universale

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