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: 0becfef59fe7786e9d570f9f26840a861bc8ef64
Parent: 6caa44df472f9c634eede58c6f00a3f0a1a0e428
Author: Pablo <pablo-escobar@riseup.net>
Date: Sat, 24 Dec 2022 22:14:35 +0000

Merge branch 'master' into module-notation

Diffstat

1 file changed, 2 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/sl2-sl3.tex	4	2	2

diff --git a/sections/sl2-sl3.tex b/sections/sl2-sl3.tex
@@ -1,4 +1,4 @@
-\chapter{Low-Dimensional Examples}\label{ch:sl3}
+\chapter{Representations of \(\mathfrak{sl}_2(K)\) \& \(\mathfrak{sl}_3(K)\)}\label{ch:sl3}
 
 We are, once again, faced with the daunting task of classifying the
 finite-dimensional modules of a given (semisimple) algebra \(\mathfrak{g}\).
@@ -259,7 +259,7 @@ for \(\mathfrak{sl}_3(K)\), hoping this will somehow lead us to a general
 solution. In the process of doing so we will find some important clues on why
 \(h\) was a sure bet and the race was fixed all along.
 
-\section{Representations of \(\mathfrak{sl}_3(K)\)}\label{sec:sl3-reps}
+\section{Representations of \(\mathfrak{sl}_{2 + 1}(K)\)}\label{sec:sl3-reps}
 
 The study of representations of \(\mathfrak{sl}_2(K)\) reminds me of the
 difference between the derivative of a function \(\mathbb{R} \to \mathbb{R}\)