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: 6b75623635f9613c22bb72584f71e7a877e71474
Parent: 4486d7c077ade408dc6a03ef096d88f0604397c3
Author: Pablo <pablo-escobar@riseup.net>
Date: Fri, 9 Jun 2023 22:07:24 +0000

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/simple-weight.tex	2	1	1

diff --git a/sections/simple-weight.tex b/sections/simple-weight.tex
@@ -287,7 +287,7 @@ Unfortunately for us, this is still too little control: there are simple weight
 modules which are not of the form \(L(\lambda)\). More generally, we may
 consider induction over some parabolic subalgebra \(\mathfrak{p} \subset
 \mathfrak{g}\) -- i.e. some subalgebra such that \(\mathfrak{p} \supset
-\mathfrak{g}\). This leads us to the following definition.
+\mathfrak{b}\). This leads us to the following definition.
 
 \begin{definition}\index{\(\mathfrak{g}\)-module!(generalized) Verma modules}
   Let \(\mathfrak{p} \subset \mathfrak{g}\) be a parabolic subalgebra and \(M\)