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
Log
Files
Refs
README
LICENSE

Commit: c3789a205e7abf6f081baa150631150dcf3d559a
Parent: a9a2e0c91cfa4d0de46488591ef03da9a509a4ba
Author: Pablo <pablo-escobar@riseup.net>
Date: Wed, 14 Dec 2022 23:18:10 +0000

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

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

diff --git a/sections/introduction.tex b/sections/introduction.tex
@@ -108,7 +108,7 @@ One specific instance of this last example is\dots
   Given a Lie group \(G\) -- i.e. a smooth manifold endowed with smooth group
   operations -- we call \(X \in \mathfrak{X}(G)\) left invariant if \((d
   \ell_g)_1 X_1 = X_g\) for all \(g \in G\), where \(\ell_g : G \to G\) denotes
-  the left translation by \(G\). The commutator of invariant fields is
+  the left translation by \(g\). The commutator of invariant fields is
   invariant, so the space \(\mathfrak{g} = \operatorname{Lie}(G)\) of all
   invariant vector fields has the structure of a Lie algebra over
   \(\mathbb{R}\) with brackets given by the usual commutator of fields. Notice