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: 65d8e73f6a655648be6aec8fbea79bf2e579ec14
Parent: 5022a6834593ce27761628563bcafe4eaa0c618d
Author: Pablo <pablo-escobar@riseup.net>
Date: Tue, 15 Nov 2022 11:50:02 +0000

Added an adjective

Diffstat

1 file changed, 1 insertion, 1 deletion

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/mathieu.tex	2	1	1

diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -1156,7 +1156,7 @@ automorphisms \(\varphi_\lambda : \operatorname{Diff}(K[x, x^{-1}]) \to
 \(\mathcal{U}(\mathfrak{sl}_2(K))\) via the map
 \(\mathcal{U}(\mathfrak{sl}_2(K)) \to \operatorname{Diff}(K[x, x^{-1}])\), but
 we could just as well twist \(K[x, x^{-1}]\) by automorphisms of
-\(\mathcal{U}(\mathfrak{sl}_2(K))_f\) -- where
+\(\mathcal{U}(\mathfrak{sl}_2(K))_f\) directly -- where
 \(\mathcal{U}(\mathfrak{sl}_2(K))_f\) denotes the localization of
 \(\mathcal{U}(\mathfrak{sl}_2(K))\) by the multiplicative subset generated by
 \(f\). In fact, \(\varphi_\lambda\) factors trought an automorphism