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: d2c1e21e268cd01331407b312ab6f851c8340753
Parent: a5d65523bcef5b92d8d8e3ec318bda933197a855
Author: Pablo <pablo-escobar@riseup.net>
Date: Fri, 25 Nov 2022 14:28:37 +0000

Fixed a TODO item

Diffstat

1 file changed, 1 insertion, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/complete-reducibility.tex	3	1	2

diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -1,6 +1,5 @@
 \chapter{Semisimplicity \& Complete Reducibility}
 
-% TODO: Update the 40 pages thing when we're done
 Having hopefully established in the previous chapter that Lie algebras and
 their representations are indeed useful, we are now faced with the Herculean
 task of trying to understand them. We have seen that representations are a
@@ -8,7 +7,7 @@ remarkably effective way to derive information about groups -- and therefore
 algebras -- but the question remains: how to we go about classifying the
 representations of a given Lie algebra? This is a question that have sparked an
 entire field of research, and we cannot hope to provide a comprehensive answer
-the 40 pages we have left. Nevertheless, we can work on particular cases.
+the 47 pages we have left. Nevertheless, we can work on particular cases.
 
 For instance, one can redily check that a representation \(V\) of the
 \(n\)-dimensional Abelian Lie algebra \(K^n\) is nothing more than a choice of