lie-algebras-and-their-representations

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -841,7 +841,7 @@ deemed informative enough to be included in here, but see the proof of Lemma
     \bigcup_{\substack{V \subset \mathcal{U}(\mathfrak{g})_0 \\ \dim V = d}}
     U_V,
   \]
-  where \(U_V = \{\lambda \in \mathcal{U}(\mathfrak{g})_0 : \operatorname{rank}
+  where \(U_V = \{\lambda \in \mathfrak{h}^* : \operatorname{rank}
   B_\lambda\!\restriction_V = d^2 \}\). Here \(V\) ranges over all
   \(d\)-dimensional subspaces of \(\mathcal{U}(\mathfrak{g})_0\) -- \(V\) is
   not necessarily a \(\mathcal{U}(\mathfrak{g})_0\)-submodule.