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: 930a094e555decdb730a170be36307b75291ad54
Parent: d9336d2c01b84402ffb17ec3a0987da1c5f73137
Author: Pablo <pablo-escobar@riseup.net>
Date: Thu, 22 Jun 2023 16:58:47 +0000

Demoted a proposition to a lemma

Diffstat

1 file changed, 2 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/coherent-families.tex	4	2	2

diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex
@@ -284,7 +284,7 @@ all \(i\) and \(j\).
 % TODO: Perhaps this could be incorporated into the proof of the following
 % theorem? Perhaps it's best to create another lemma for this
 % TODO: Restate the notation for σ_i beforehand
-\begin{proposition}
+\begin{lemma}
   The connected component of some \(m \in \mathscr{B}\) is given by the
   following.
   \begin{enumerate}
@@ -351,7 +351,7 @@ all \(i\) and \(j\).
       with \(m' \in \mathscr{B}^+\) and \(\sigma_{n-1} \cdots \sigma_1 \cdot m'
       \in \mathscr{B}^-\).
   \end{enumerate}
-\end{proposition}
+\end{lemma}
 
 % TODO: Add pictures of parts of the graph 𝓑 ?