Image:Spin-Pin-SO-O-definite.svg
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Spin-Pin-SO-O-definite.svg (SVG file, nominally 434 × 240 pixels, file size: 39 KB)
[edit] Summary
Commutative diagram connecting spin group, pin group, special orthogonal group, and orthogonal group, for a definite form.
[edit] TeX source
TeX source, produced as detailed at 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}$$ % Frame for margin \xymatrix@=6pt{ &\{\pm 1\} \ar@{^(->}@/_1pc/[ddl] \ar@{_(->}@/^1pc/[ddr] \\ \\ \operatorname{Spin}(n) \ar@{->>}[dd] \ar@{^(->}[rr] &&\operatorname{Pin}_\pm(n) \ar@{->>}[dd] \ar@{->>}@/^1pc/[rrd]^{D} \\ && &&\{\pm 1\} \\ \operatorname{SO}(n) \ar@{^(->}[rr] &&\operatorname{O}(n) \ar@{->>}@/_1pc/[rru]^{\det} } $$}}} % end math, end frame \end{document}
[edit] Licensing
I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide. In case this is not legally possible, |
File history
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Date/Time | Dimensions | User | Comment | |
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current | 00:07, 28 November 2007 | 434×240 (39 KB) | Nbarth (Talk | contribs) | (Commutative diagram connecting spin group, pin group, special orthogonal group, and orthogonal group, for a definite form.) |
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