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	<title>Notes for AKT-091001-2/0:13:25 - Revision history</title>
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	<updated>2026-07-02T23:23:07Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-091001-2/0:13:25&amp;diff=11008&amp;oldid=prev</id>
		<title>Iva at 12:21, 27 October 2011</title>
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		<updated>2011-10-27T12:21:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 08:21, 27 October 2011&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&#039;&#039;&#039;Theorem&#039;&#039;&#039;: &lt;/div&gt;&lt;/td&gt;
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  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-left&quot; title=&quot;Paragraph was moved. Click to jump to new location.&quot; href=&quot;#movedpara_2_1_rhs&quot;&gt;&amp;#x26AB;&lt;/a&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;a name=&quot;movedpara_1_0_lhs&quot;&gt;&lt;/a&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Theorem: &lt;/del&gt;1) Given a metrized finite&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;dimensional Lie&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-algrbra&lt;/del&gt; &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; and a finite&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; &lt;/del&gt;dimensional representation &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; of &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\exists&amp;lt;/math&amp;gt; (an interesting) linear &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;function&lt;/del&gt; &amp;lt;math&amp;gt;W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q}&amp;lt;/math&amp;gt; (the ground field which &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; is defined&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; on&lt;/del&gt;)&lt;/div&gt;&lt;/td&gt;
  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-added&quot;&gt;&lt;/td&gt;
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  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br /&gt;&lt;/td&gt;
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  &lt;td colspan=&quot;2&quot; class=&quot;diff-empty diff-side-deleted&quot;&gt;&lt;/td&gt;
  &lt;td class=&quot;diff-marker&quot;&gt;&lt;a class=&quot;mw-diff-movedpara-right&quot; title=&quot;Paragraph was moved. Click to jump to old location.&quot; href=&quot;#movedpara_1_0_lhs&quot;&gt;&amp;#x26AB;&lt;/a&gt;&lt;/td&gt;
  &lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;a name=&quot;movedpara_2_1_rhs&quot;&gt;&lt;/a&gt;1) Given a metrized&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;,&lt;/ins&gt; finite&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;dimensional Lie&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; algebra&lt;/ins&gt; &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; and a finite&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;-&lt;/ins&gt;dimensional representation &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; of &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\exists&amp;lt;/math&amp;gt; (an interesting) linear &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;functional&lt;/ins&gt; &amp;lt;math&amp;gt;W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q}&amp;lt;/math&amp;gt; (the ground field&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; on&lt;/ins&gt; which &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; is defined)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;
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		<author><name>Iva</name></author>
	</entry>
	<entry>
		<id>https://drorbn.net/index.php?title=Notes_for_AKT-091001-2/0:13:25&amp;diff=8052&amp;oldid=prev</id>
		<title>Conan777 at 23:52, 3 October 2009</title>
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		<updated>2009-10-03T23:52:55Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Theorem: 1) Given a metrized finite dimensional Lie-algrbra &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; and a finite dimensional representation &amp;lt;math&amp;gt;R&amp;lt;/math&amp;gt; of &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt;, &amp;lt;math&amp;gt;\exists&amp;lt;/math&amp;gt; (an interesting) linear function &amp;lt;math&amp;gt;W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q}&amp;lt;/math&amp;gt; (the ground field which &amp;lt;math&amp;gt;\mathcal{G}&amp;lt;/math&amp;gt; is defined on)&lt;/div&gt;</summary>
		<author><name>Conan777</name></author>
	</entry>
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