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

Commit
c1198935da7cd41892fca822419a34282d80dac5
Parent
aeab267d2f19e5697440134ed1a1773c08725671
Author
Pablo <pablo-escobar@riseup.net>
Date

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