lie-algebras-and-their-representations

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -307,13 +307,13 @@ characterizations of cuspidal modules.
   Let \(M\) be a simple weight \(\mathfrak{g}\)-module. The following
   conditions are equivalent.
   \begin{enumerate}
-    \item \(M\) is cuspidal
+    \item \(M\) is cuspidal.
     \item \(F_\alpha\) acts injectively on \(M\) for all
       \(\alpha \in \Delta\) -- this is what is usually referred
-      to as a \emph{dense} module in the literature
+      to as a \emph{dense} module in the literature.
     \item The support of \(M\) is precisely one \(Q\)-coset -- this is
       what is usually referred to as a \emph{torsion-free} module in the
-      literature
+      literature.
   \end{enumerate}
 \end{corollary}
 
@@ -446,7 +446,7 @@ families}.
   \begin{enumerate}
     \item \(\dim \mathcal{M}_\lambda = d\) for \emph{all} \(\lambda \in
       \mathfrak{h}^*\) -- i.e. \(\operatorname{supp}_{\operatorname{ess}}
-      \mathcal{M} = \mathfrak{h}^*\)
+      \mathcal{M} = \mathfrak{h}^*\).
     \item For any \(u \in \mathcal{U}(\mathfrak{g})\) in the
       centralizer\footnote{The notation $\mathcal{U}(\mathfrak{g})_0$ for the
       centralizer of $\mathfrak{h}$ in $\mathcal{U}(\mathfrak{g})$ comes from