lie-algebras-and-their-representations

diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -702,7 +702,7 @@ known as \emph{Verma modules}.
   The \(\mathfrak{g}\)-module \(M(\lambda) =
   \operatorname{Ind}_{\mathfrak{b}}^{\mathfrak{g}} K m^+\), where the action of
   \(\mathfrak{b}\) on \(K m^+\) is given by \(H \cdot m^+ = \lambda(H) m^+\)
-  for all \(H \in \mathfrak{h}\) and \(X \cdot v^+ = 0\) for \(X \in
+  for all \(H \in \mathfrak{h}\) and \(X \cdot m^+ = 0\) for \(X \in
   \mathfrak{g}_{\alpha}\), \(\alpha \in \Delta^+\), is called \emph{the Verma
   module of weight \(\lambda\)}.
 \end{definition}