Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Replaced a reference
Replaced the reference to Yuan's notes with a reference to Lie Groups and Lie Algebras II
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