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: 8ef95223cc2593af95341aa4a5ac6e9db6034dfc
Parent: 2bfc38f7eb48922dc9b04a603edd0d4aaed9c155
Author: Pablo <pablo-escobar@riseup.net>
Date: Sun, 25 Sep 2022 14:44:08 +0000

Updated the TODO list

Diffstat

1 file changed, 2 insertions, 4 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	TODO.md	6	2	4

diff --git a/TODO.md b/TODO.md
@@ -1,9 +1,7 @@
 # TODO
 
-* Prove that every finite-dimensional representation of a semisimple algebra is
-  a weight module
-* Prove that the action of the Casimir element is non-zero on non-trivial
-  irreducible modules
+* Make a proper discussion on basis
+* Make a proper discussion of highest weight modules
 * Write something on the motivation for the representation theory of Lie
   algebras
   * Main motivation: smooth representations of Lie groups and rational