lie-algebras-and-their-representations

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -314,13 +314,13 @@ characterizations of cuspidal modules.
   Let \(V\) be an irreducible weight \(\mathfrak{g}\)-module. The following
   conditions are equivalent.
   \begin{enumerate}
-    \item \(V\) is cuspidal.
-    \item \(F_\alpha\) acts injectively\footnote{This is what's usually refered
-      to as a \emph{dense} representation in the literature.} in \(V\) for all
-      \(\alpha \in \Delta\).
-    \item The support of \(V\) is precisely one \(Q\)-coset\footnote{This is
+    \item \(V\) is cuspidal
+    \item \(F_\alpha\) acts injectively in \(V\) for all
+      \(\alpha \in \Delta\) -- this is what's usually refered
+      to as a \emph{dense} representation in the literature
+    \item The support of \(V\) is precisely one \(Q\)-coset -- this is
       what's usually referred to as a \emph{torsion-free} representation in the
-      literature.}.
+      literature
   \end{enumerate}
 \end{corollary}