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, 1 insertion, 1 deletion

diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -258,7 +258,7 @@ to introduce some basic tools which will come in handy later on, known as\dots
   \mathfrak{g} \to \mathfrak{g}\) is antisymmetric with respect to \(B\) for
   all \(X \in \mathfrak{g}\).
   \[
-    B(\operatorname{ad}(X) Y, Z) + B(Y, \operatorname{ad}(Y) Z) = 0
+    B(\operatorname{ad}(X) Y, Z) + B(Y, \operatorname{ad}(X) Z) = 0
   \]
 \end{definition}