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

Diffstat

1 file changed, 4 insertions, 4 deletions

diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -639,10 +639,10 @@ concretely by considering a canonical free resolution
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 \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.~1.3C]{cohomologies-lie} or \cite[sec.~24]{symplectic-physics}
-for further details.
+of the trivial \(\mathfrak{g}\)-module \(K\), known as \emph{the
+Chevalley-Eilenberg resolution}, which provides an explicit construction of the
+cohomology groups -- 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