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	<title>Comments on: Four-dimensional Lie algebras</title>
	<atom:link href="http://alanrendall.wordpress.com/2010/01/01/four-dimensional-lie-algebras/feed/" rel="self" type="application/rss+xml" />
	<link>http://alanrendall.wordpress.com/2010/01/01/four-dimensional-lie-algebras/</link>
	<description>A mathematician thinks aloud</description>
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		<title>By: hydrobates</title>
		<link>http://alanrendall.wordpress.com/2010/01/01/four-dimensional-lie-algebras/#comment-326</link>
		<dc:creator><![CDATA[hydrobates]]></dc:creator>
		<pubDate>Wed, 10 Feb 2010 06:26:25 +0000</pubDate>
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		<description><![CDATA[The preprint mentioned in the post is now available as http://arxiv.org/abs/1002.1851.]]></description>
		<content:encoded><![CDATA[<p>The preprint mentioned in the post is now available as <a href="http://arxiv.org/abs/1002.1851" rel="nofollow">http://arxiv.org/abs/1002.1851</a>.</p>
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		<title>By: hydrobates</title>
		<link>http://alanrendall.wordpress.com/2010/01/01/four-dimensional-lie-algebras/#comment-301</link>
		<dc:creator><![CDATA[hydrobates]]></dc:creator>
		<pubDate>Thu, 14 Jan 2010 08:12:57 +0000</pubDate>
		<guid isPermaLink="false">http://alanrendall.wordpress.com/?p=774#comment-301</guid>
		<description><![CDATA[I now realized that my picture of the unimodular four-dimensional Lie algebras was flawed and I want to correct this here. In fact not all the indecomposable four-dimensional Lie algebras have a three-dimensional Abelian subalgebra as claimed in the post. There are two exceptions which are those denoted by $latex A_{4,8}$ and $latex A_{4,10}$ in the paper of Hervik. At the moment I have no good geometrical picture of those two.]]></description>
		<content:encoded><![CDATA[<p>I now realized that my picture of the unimodular four-dimensional Lie algebras was flawed and I want to correct this here. In fact not all the indecomposable four-dimensional Lie algebras have a three-dimensional Abelian subalgebra as claimed in the post. There are two exceptions which are those denoted by <img src='http://s0.wp.com/latex.php?latex=A_%7B4%2C8%7D&amp;bg=ffffff&amp;fg=333333&amp;s=0' alt='A_{4,8}' title='A_{4,8}' class='latex' /> and <img src='http://s0.wp.com/latex.php?latex=A_%7B4%2C10%7D&amp;bg=ffffff&amp;fg=333333&amp;s=0' alt='A_{4,10}' title='A_{4,10}' class='latex' /> in the paper of Hervik. At the moment I have no good geometrical picture of those two.</p>
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