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File:Projective-representation-lifting.svg

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Original file (SVG file, nominally 225 × 203 pixels, file size: 45 KB)

Summary

Description
English: Commutative diagram showing the lifting of a projective representation to a linear representation.
Date
Source Own work
Author Nils R. Barth
Permission
(Reusing this file)
Released into the public domain (by the author).

TeX source

TeX source, produced as detailed at meta:Help:Displaying a formula#Commutative diagrams.

\documentclass{amsart}
\usepackage[all, 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{
   A   \ar[rr]               \ar@{^(->}[dd]
 && \mathbf{K}^*             \ar@{^(->}^{\text{diag}}[dd]
\\ \\
   C   \ar^(.3){\sigma}[rr]  \ar@{->>}^\phi[dd] 
 &&\operatorname{GL}(n,\mathbf{K})  \ar@{->>}^\pi[dd]
\\
 &&
\\
   G   \ar^(.3){\rho}[rr]
 &&\operatorname{PGL}(n,\mathbf{K})
}
 
$$}}} % end math, end frame
\end{document}

Licensing

Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

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19 November 2009

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Date/TimeThumbnailDimensionsUserComment
current04:29, 20 November 2009Thumbnail for version as of 04:29, 20 November 2009225 × 203 (45 KB)Nbarth== Summary == {{Information |Description={{en|Commutative diagram showing the lifting of a projective representation to a linear representation.}} |Source={{own}} |Date={{Date|2009|11|19}} |A

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