30th-siicusp

A short lecture of mine on my scientific initiation project for 30th SIICUSP

git clone: git://git.pablopie.xyz/30th-siicusp
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Commit: 1462ed6af66690d33ed80c9e710139cff7626f82
Parent: 4faf00e4f208cf59fc26e559b14799ac1a100af5
Author: Pablo <pablo-escobar@riseup.net>
Date: Mon, 17 Oct 2022 22:05:59 +0000

Emphasized the fact that sl2 is semisimple

Diffstat

1 file changed, 2 insertions, 3 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	main.tex	5	2	3

diff --git a/main.tex b/main.tex
@@ -168,9 +168,8 @@
         [e, f] & = h & [h, f] & = -2 f & [h, e] = 2 e
       \end{align*}
 
-    \item Uma \(\mathfrak{sl}_2 \mathbb{C}\)-rep \(V\) é \emph{irredutível} se
-      \(V\) não tem nenhum subespaço próprio \(\mathfrak{sl}_2
-      \mathbb{C}\)-invariante
+    \item Toda \(\mathfrak{sl}_2 \mathbb{C}\)-rep \(V\) com \(\dim V < \infty\)
+      é soma direta de \emph{irredutíveis}!
   \end{itemize}
   \begin{center}
     \begin{tikzcd}