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
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Commit: 4adde1a1da1bc5aa9ea0d8aec8b6890fdbdaf28a
Parent: 359ba13be83cec73625eb06292c59f449700e814
Author: Pablo <pablo-escobar@riseup.net>
Date: Sun, 27 Nov 2022 17:02:29 +0000

Fixed a definition

Diffstat

1 file changed, 1 insertion, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/complete-reducibility.tex	2	1	1

diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -473,7 +473,7 @@ representation of \(\mathfrak{g}\). Namely, we may define\dots
 \begin{definition}
   Given a \(\mathfrak{g}\)-module \(V\), we refer to the Abelian group
   \(H^i(\mathfrak{g}, V) = \operatorname{Ext}^i(K, V)\) as \emph{the \(i\)-th
-  Lie algebra cohomology group of \(V\)}.
+  Lie algebra cohomology group of \(\mathfrak{g}\) with coefficients in \(V\)}.
 \end{definition}
 
 Given a \(\mathfrak{g}\)-module \(V\), we call the vector space