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

Commit
bf3eff9730bb0b7a15ff78a323b6a5e04bf8a353
Parent
a20afde8535688573840ffeb6115ef438b484f90
Author
Pablo <pablo-escobar@riseup.net>
Date

Clarified the action of g in V*

Diffstat

1 file changed, 1 insertion, 1 deletion

Status File Name N° Changes Insertions Deletions
Modified sections/introduction.tex 2 1 1 
diff --git a/sections/introduction.tex b/sections/introduction.tex
@@ -831,7 +831,7 @@ say\dots
   action of \(\mathfrak{g}\) is given by
   \begin{align*}
     X (v + w)       & = X v + X w                     &
-    X \cdot f       & = - f \circ X                   \\
+    (X \cdot f)(v)  & = - f (X v)                     \\
     X (v \otimes w) & = X v \otimes w + v \otimes X w &
     (X \cdot T) v   & = X T v - T X v,
   \end{align*}