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
f6e4bb679dc8ee9d56e58798289e6409486ba4fe
Parent
1dbcc654c5fc0b8868792f0f00e56f5db5ec8ec4
Author
Pablo <pablo-escobar@riseup.net>
Date

Added some items to the TODO list

Diffstat

1 file changed, 4 insertions, 0 deletions

Status File Name N° Changes Insertions Deletions
Modified TODO.md 4 4 0
diff --git a/TODO.md b/TODO.md
@@ -1,5 +1,9 @@
 # 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
 * Write something on the motivation for the representation theory of Lie
   algebras
   * Main motivation: smooth representations of Lie groups and rational