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: c1198935da7cd41892fca822419a34282d80dac5
Parent: aeab267d2f19e5697440134ed1a1773c08725671
Author: Pablo <pablo-escobar@riseup.net>
Date: Sat, 19 Nov 2022 17:27:42 +0000

Added TODO items

Diffstat

3 files changed, 6 insertions, 0 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/introduction.tex	3	3	0
Modified	sections/mathieu.tex	2	2	0
Modified	sections/semisimple-algebras.tex	1	1	0

diff --git a/sections/introduction.tex b/sections/introduction.tex
@@ -913,6 +913,9 @@ Surprisingly, this functor has right adjoint.
   is the inverse of \(\alpha\).
 \end{proof}
 
+% TODO: Add a conclusion
+
+% TODO: Move this to the next chapter
 %\begin{definition}
 %  A representation of \(\mathfrak{g}\) is called \emph{indecomposable} if it is
 %  not isomorphic to the direct sum of two non-zero representations.

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -1416,3 +1416,5 @@ Lo and behold\dots
 %  The central characters of the irreducible submodules of
 %  \(\operatorname{Ext}(V)\) are all the same.
 %\end{proposition}
+
+% TODO: Write a conclusion

diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -2446,3 +2446,4 @@ are really interested in is\dots
   weight \(\mu\) of \(M(\lambda)\) which is higher than \(\lambda\).
 \end{proof}
 
+% TODO: Write a conclusion and move this to the next chapter