phases

1 files changed, 22 insertions, 5 deletions

diff --git a/vorlesungen/slides/7/liealgebra.tex b/vorlesungen/slides/7/liealgebra.tex
index 892216e..574467b 100644
--- a/vorlesungen/slides/7/liealgebra.tex
+++ b/vorlesungen/slides/7/liealgebra.tex
@@ -8,50 +8,64 @@
 \setlength{\abovedisplayskip}{5pt}
 \setlength{\belowdisplayskip}{5pt}
 \frametitle{Lie-Algebra}
+\ifthenelse{\boolean{presentation}}{\vspace{-15pt}}{\vspace{-8pt}}
 \begin{block}{Vektorraum}
 Tangentialvektoren im Punkt $I$:
 \begin{center}
 \begin{tabular}{>{$}c<{$}|p{6cm}|>{$}c<{$}}
 \text{Lie-Gruppe $G$}&Tangentialvektoren&\text{Lie-Algebra $LG$} \\
 \hline
+\uncover<2->{
 \operatorname{GL}_n(\mathbb{R})
 & beliebige Matrizen
 & M_n(\mathbb{R})
+}
 \\
+\uncover<3->{
 \operatorname{O(n)}
 & antisymmetrische Matrizen
 & \operatorname{o}(n)
+}
 \\
+\uncover<4->{
 \operatorname{SL}_n(\mathbb{R})
 & spurlose Matrizen
 & \operatorname{sl}_2(\mathbb{R})
+}
 \\
+\uncover<5->{
 \operatorname{U(n)}
 & antihermitesche Matrizen
 & \operatorname{u}(n)
+}
 \\
+\uncover<6->{
 \operatorname{SU(n)}
 & spurlose, antihermitesche Matrizen
 & \operatorname{su}(n)
+}
 \end{tabular}
 \end{center}
 \end{block}
 \vspace{-20pt}
 \begin{columns}[t,onlytextwidth]
 \begin{column}{0.40\textwidth}
+\uncover<7->{%
 \begin{block}{Lie-Klammer}
 Kommutator: $[A,B] = AB-BA$
-\end{block}
+\end{block}}
+\uncover<8->{%
 \begin{block}{Nachprüfen}
 $[A,B]\in LG$
 für $A,B\in LG$
-\end{block}
+\end{block}}
 \end{column}
 \begin{column}{0.56\textwidth}
+\uncover<9->{%
 \begin{block}{Algebraische Eigenschaften}
 \begin{itemize}
-\item antisymmetrisch: $[A,B]=-[B,A]$
-\item Jacobi-Identität
+\item<10-> antisymmetrisch: $[A,B]=-[B,A]$
+\item<11-> Jacobi-Identität
 \[
 [A,[B,C]]+
 [B,[C,A]]+
@@ -59,9 +73,12 @@ für $A,B\in LG$
 = 0
 \]
 \end{itemize}
+\vspace{-13pt}
+\uncover<12->{%
 {\usebeamercolor[fg]{title}
 Beispiel:} $\mathbb{R}^3$ mit Vektorprodukt $\mathstrut = \operatorname{so}(3)$
-\end{block}
+}
+\end{block}}
 \end{column}
 \end{columns}
 \end{frame}