diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -619,7 +619,7 @@ Moreover, we find\dots
f^{k + 1} v^+ & \overset{h}{\mapsto} - 2 k f^{k + 1} v^+ &
\end{align*}
- In the language of the diagrams used in section~\ref{sec:sl2}, we write
+ In the language of the diagrams used in chapter~\ref{ch:sl3}, we write
% TODO: Add a label to the righ of the diagram indicating that the top arrows
% are the action of e and the bottom arrows are the action of f
\begin{center}
@@ -633,7 +633,7 @@ Moreover, we find\dots
\end{tikzcd}
\end{center}
where \(M(\lambda)_{2 - 2 k} = K f^k v\). In this case, unlike we have see in
- section~\ref{sec:sl2}, the string of weight spaces to left of the diagram is
+ chapter~\ref{ch:sl3}, the string of weight spaces to left of the diagram is
infinite.
\end{example}
@@ -708,7 +708,7 @@ whose highest weight is \(\lambda\).
3} K f^k v^+\), so that \(\sfrac{M(\lambda)}{N(\lambda)}\) is the
\(3\)-dimensional irreducible representation of \(\mathfrak{sl}_2(K)\) --
i.e. the finite-dimensional irreducible representation with highest weight
- \(\lambda\) constructed in section~\ref{sec:sl2}.
+ \(\lambda\) constructed in chapter~\ref{ch:sl3}.
\end{example}
This last example is particularly interesting to us, since it indicates that