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: 1ff40e693033cdde49668288bfac8f899a03ee1e
Parent: 41f8550180ad1a8646b52cf4c81c4b173462c14f
Author: Pablo <pablo-escobar@riseup.net>
Date: Tue, 3 Jan 2023 13:01:15 +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
@@ -1245,7 +1245,7 @@ Explicitly\dots
     F_{\beta_1}^{- i_1} \cdots F_{\beta_r}^{- i_r}
   \]
   for \(\lambda_1, \ldots, \lambda_r \in K\), \(\lambda = \lambda_1 \beta_1 +
-  \cdots + \lambda_r \beta_r \in \mathfrak{h}^*\)
+  \cdots + \lambda_r \beta_r \in \mathfrak{h}^*\).
 
   It is clear that the \(\theta_\lambda\) are endomorphisms. To see that the
   \(\theta_\lambda\) are indeed automorphisms, notice \(\theta_{- k_1 \beta_1 -