30th-siicusp

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

Commit
1462ed6af66690d33ed80c9e710139cff7626f82
Parent
4faf00e4f208cf59fc26e559b14799ac1a100af5
Author
Pablo <pablo-escobar@riseup.net>
Date

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}