Keywords: Spin-Pin-SO-O-definite.svg Commutative diagram connecting the spin group pin group special orthogonal group and orthogonal group for a definite form Own work by Nils R Barth <br />Transferred from http //en wikipedia org en wikipedia; transferred to Commons by User Nbarth using http //tools wikimedia de/~magnus/commonshelper php CommonsHelper 2007-11-28 Nils R Barth Released into the public domain by the author See also File SO-O-PSO-PO-2k svg “ analogous diagram for projective special orthogonal group in even dimension PSO 2k and PO 2k TeX source TeX source produced as detailed at meta Help Displaying a formula Commutative diagrams <source lang latex > \documentclass amsart \usepackageall ps 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 </source> original upload log page en wikipedia Spin-Pin-SO-O-definite svg 2007-11-28 00 07 Nbarth 434×240× 40158 bytes <nowiki>Commutative diagram connecting spin group pin group special orthogonal group and orthogonal group for a definite form </nowiki> Lie groups Commutative diagrams Xy-pic diagrams Images with LaTeX source code |