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

git clone: git://git.pablopie.xyz/lie-algebras-and-their-representations
Log
Files
Refs
README
LICENSE

Commit: 21f35a68d42446f55f2dc1917db31746e0fdc48c
Parent: 391dfe0dd595bd515e2ec712213ac2106300bd98
Author: Pablo <pablo-escobar@riseup.net>
Date: Fri, 14 Oct 2022 00:18:24 +0000

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/mathieu.tex	2	1	1

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -797,7 +797,7 @@
   weight spaces have maximal dimension inside of \(\operatorname{Ext}(V)\). In
   particular, it follows from proposition~\ref{thm:centralizer-multiplicity}
   that \(\operatorname{Ext}(V)_\lambda = V_\lambda\) is a simple
-  \(C_{\mathcal{U}(\mathfrak{h})}(\mathfrak{h})\)-module for some \(\lambda \in
+  \(\mathcal{U}(\mathfrak{g})_0\)-module for some \(\lambda \in
   \operatorname{supp} V\).
 
   As for the uniqueness of \(\operatorname{Ext}(V)\), fix some other completely