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: 7179f4432b3238fb409deb2a13ecfc60638d713a
Parent: 051116f5004c5f16248dcd3fcf14d503a98c7a0c
Author: Pablo <pablo-escobar@riseup.net>
Date: Thu, 15 Sep 2022 21:54:23 +0000

Added a TODO list

Diffstat

1 file changed, 9 insertions, 0 deletions

Status	File Name	N° Changes	Insertions	Deletions
Added	TODO.md	9	9	0

diff --git a/TODO.md b/TODO.md
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+# TODO
+
+* Write something on the motivation for the representation theory of Lie
+  algebras
+  * Main motivation: smooth representations of Lie groups and rational
+    representations of algebraic groups
+  * This also serves as motivation for infinite-dimensional representations:
+    the work of Vogan on the relationship between unitary representations of
+    reductive groups and Hermitian Harish-Chandra modules