lie-algebras-and-their-representations

Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules

Diffstat

1 file changed, 3 insertions, 3 deletions

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -132,9 +132,9 @@ A particularly well behaved class of examples are the so called
 
 \begin{definition}
   A weight \(\mathfrak{g}\)-module is called \emph{admissible} if \(\dim
-  V_\lambda\) is bounded. The lowest upper bound for \(\dim V_\lambda\) is
-  called \emph{the degree of \(V\)}. The \emph{essential support} of \(V\) is
-  the set \(\operatorname{supp}_{\operatorname{ess}} V = \{ \lambda \in
+  V_\lambda\) is bounded. The lowest upper bound \(d\) for \(\dim V_\lambda\)
+  is called \emph{the degree of \(V\)}. The \emph{essential support} of \(V\)
+  is the set \(\operatorname{supp}_{\operatorname{ess}} V = \{ \lambda \in
   \mathfrak{h}^* : \dim V_\lambda = d \}\).
 \end{definition}