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: 47cef5821e7301336a176e9c0bc8a47fcab3f0ad
Parent: 7fc1115cc9893d9adfed034213408f1443d557a4
Author: Pablo <pablo-escobar@riseup.net>
Date: Tue, 20 Jun 2023 14:44:45 +0000

Elaborated on a TODO item

Diffstat

1 file changed, 2 insertions, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/coherent-families.tex	3	2	1

diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex
@@ -232,7 +232,8 @@ Example~\ref{ex:cartan-of-sl} and consider the linear functionals \(\alpha_i,
   \(m(\lambda)_i - m(\lambda)_{i + 1}\) is not a positive integer.
 \end{proposition}
 
-% TODO: Change the notation for 𝓟 ?
+% TODO: Change the notation for 𝓟 ? The paper on affine vertex algebras calls
+% this graph 𝓑
 % TODO: Explain the intuition behind defining the arrows like so: the point is
 % that if there is an arrow m(λ) → m(μ) then μ = σ_i ∙ λ for some i, which
 % implies L(μ) is contained in 𝓔𝔁𝓽(L(λ)) - so that L(μ) is also bounded and