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: a59903ddc00e7c68bc1df7d6405b00114b09104b
Parent: 52ddd24e2b13c286f7154f38d1a0891831a2a99d
Author: Pablo <pablo-escobar@riseup.net>
Date: Tue, 20 Jun 2023 22:44:46 +0000

Removed a TODO item

Diffstat

1 file changed, 0 insertions, 2 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/coherent-families.tex	2	0	2

diff --git a/sections/coherent-families.tex b/sections/coherent-families.tex
@@ -102,8 +102,6 @@ combinatorial counterpart.
 % TODOO: Note beforehand that the Weyl group of sp(2n) is S_n ⋉ (ℤ/2)^n. Write
 % down the isomorphism explicitly in terms of the basis Σ
 % TODOO: Perhaps its best to keep this information in here?
-% TODO: Change the notation for this? We use the notation α_i instead of ϵ_i in
-% the previous chapters
 We can find an orthonormal basis \(\{\epsilon_1, \ldots, \epsilon_n\}\) for
 \(\mathfrak{h}^*\) such that \(\Delta = \{\pm \epsilon_i \pm \epsilon_j\}_{i
 \ne j} \cup \{2 \epsilon_i\}_i\). Take the basis \(\Sigma = \{ \beta_1, \cdots,