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

Commit
214d065f1d9e18fa2ba11f8ace90a80b4ab89c4b
Parent
2b4ab7e6954447ef9ceedc4de24ffe0bfb24cfc5
Author
Pablo <pablo-escobar@riseup.net>
Date

Repharased a sentence

Diffstat

1 file changed, 2 insertions, 2 deletions

Status File Name N° Changes Insertions Deletions
Modified sections/semisimple-algebras.tex 4 2 2 
diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -9,8 +9,8 @@ was the decision to consider the eigenspace decomposition
 \end{equation}
 
 This was simple enough to do in the case of \(\mathfrak{sl}_2(K)\), but the
-reasoning behind it, as well as the mere fact equation (\ref{sym-diag}) holds,
-are harder to explain in the case of \(\mathfrak{sl}_3(K)\). The eigenspace
+rational behind it and the reason why equation (\ref{sym-diag}) holds are
+harder to explain in the case of \(\mathfrak{sl}_3(K)\). The eigenspace
 decomposition associated with an operator \(V \to V\) is a very well-known
 tool, and readers familiarized with basic concepts of linear algebra should be
 used to this type of argument. On the other hand, the eigenspace decomposition