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: 0431480fc81638aae0556e1c8461b2e83607a9a0
Parent: 97047d350f1e0d957f975b0a0de9cb2f14e72f01
Author: Pablo <pablo-escobar@riseup.net>
Date: Wed, 5 Oct 2022 12:50:04 +0000

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/mathieu.tex	2	1	1

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -308,7 +308,7 @@
   \mathcal{U}(\mathfrak{g})_{(F_\beta : \beta \in \Sigma)}\}_{\lambda \in
   \mathfrak{h}^*}\) such that
   \begin{enumerate}
-    \item \(\theta_{k_1 \beta_1 + \cdots k_n \beta_n}(u) =
+    \item \(\theta_{k_1 \beta_1 + \cdots + k_n \beta_n}(u) =
       F_{\beta_1}^{k_1} \cdots F_{\beta_n}^{k_n} u F_{\beta_1}^{- k_n}
       \cdots F_{\beta_n}^{- k_1}\) for all \(u \in
       \mathcal{U}(\mathfrak{g})_{(F_\beta : \beta \in \Sigma)}\) and \(k_1,