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: 97ef29fceb37ecb194e96a3c6a362a79bf9f0bd9
Parent: bbda34fd3abaebba2de0462d0b832c5bfff57827
Author: Pablo <pablo-escobar@riseup.net>
Date: Thu, 24 Nov 2022 10:19:41 +0000

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

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

diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -447,7 +447,7 @@ The interesting thing about basis for \(\Delta\) is that they allow us to
 compare weights of a given representation. At this point the reader should be
 asking himself: how? Definition~\ref{def:basis-of-root} doesn't exactly screem
 ``comparison''. Well, the thing is that any choice of basis induces a partial
-order in \(Q\), where elements are ordered by their \emph{hights}.
+order in \(Q\), where elements are ordered by their \emph{heights}.
 
 \begin{definition}
   Let \(\Sigma = \{\beta_1, \ldots, \beta_k\}\) be a basis for \(\Delta\).