Keywords: SO-O-PSO-PO-2k.svg Commutative diagram connecting the special orthogonal group orthogonal group projective special orthogonal group and projective orthogonal group for a definite form in even dimension own Created as per en meta Help Displaying a formula Commutative diagrams; source code below Resized using Inkscape and manually edition of the SVG Created with Inkscape 2010-05-07 Nils R Barth See also File SO-O-PSO-PO-2k+1 svg “ odd dimension File Spin-Pin-SO-O-definite svg “ analogous diagram for Spin Pin groups LaTeX source Created as per en 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 I\ \ar -> /_1pc/ddl \ar _ -> / 1pc/ddr \\ \\ \operatorname SO 2k \ar ->> dd \ar -> rr \operatorname O 2k \ar ->> dd \ar ->> / 1pc/rrd \det \\ \ \pm 1\ \\ \operatorname PSO 2k \ar -> rr \operatorname PO 2k \ar ->> /_1pc/rru \det end math end frame \end document </source> Lie groups Commutative diagrams Xy-pic diagrams Images with LaTeX source code |