diff --git a/sections/extensions.tex b/sections/extensions.tex
index 18cc8fd..044af9c 100644
--- a/sections/extensions.tex
+++ b/sections/extensions.tex
@@ -515,7 +515,7 @@ \subsubsection{Split Extensions and Semidirect Products}
   We therefore find that the commutator~$[(x,0), (y,0)]$ is again contained in~$\hlie \oplus 0$ for all~$x, y \in \hlie$.
   This means that~$\kappa = 0$.
   
-  The linear map~$\theta \colon \hlie \to I$ is given by taking for~$x \in \hlie$ the restriction of the endomorphism~$\ad_{\hlie \oplus I}((x,0))$ to the ideal~$0 \oplus I$ and then identifying~$0 \oplus I$ with~$I$ to get~$\theta(x) \in \Der(I)$.
+  The linear map~$\theta \colon \hlie \to I$ takes for~$x \in \hlie$ the restriction of the endomorphism~$\ad_{\hlie \oplus I}((x,0))$ to the ideal~$0 \oplus I$ and then identifying~$0 \oplus I$ with~$I$ to get~$\theta(x) \in \Der(I)$.
   This assignment may be written as the composition
   \[
     \theta