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: 26deb194e1f37cb5e74b4fa66045e52ebf48d511
Parent: f517670726289b3e13dc3f657f52a32a6c7a47e7
Author: Pablo <pablo-escobar@riseup.net>
Date: Mon, 24 Apr 2023 22:42:30 +0000

Replaced a reference

Replaced the reference to Yuan's notes with a reference to Lie Groups and Lie Algebras II

Diffstat

1 file changed, 2 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/complete-reducibility.tex	4	2	2

diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -641,8 +641,8 @@ concretely by considering a canonical free resolution
 \end{center}
 of the trivial \(\mathfrak{g}\)-module \(K\), known as \emph{the standard
 resolution}, which provides an explicit construction of the cohomology groups
--- see \cite[sec.~9]{lie-groups-serganova-student} or
-\cite[sec.~24]{symplectic-physics} for further details.
+-- see \cite[sec.~1.3C]{cohomologies-lie} or \cite[sec.~24]{symplectic-physics}
+for further details.
 
 We will use the previous result implicitly in our proof, but we will not prove
 it in its full force. Namely, we will show that if \(\mathfrak{g}\) is