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: 3c9f6c61ca102a04df780ac16ba90c2c57b6b360
Parent: 45e040d1a001023d7831dd72a1dc8acc2c579511
Author: Pablo <pablo-escobar@riseup.net>
Date: Sat, 17 Dec 2022 22:05:58 +0000

Removed a reference to the title of a book

Diffstat

1 file changed, 4 insertions, 4 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/introduction.tex	8	4	4

diff --git a/sections/introduction.tex b/sections/introduction.tex
@@ -679,10 +679,10 @@ algebraic affair, but the universal enveloping algebra of the Lie algebra of a
 Lie group \(G\) is in fact intimately related with the algebra
 \(\operatorname{Diff}(G)\) of differential operators \(C^\infty(G) \to
 C^\infty(G)\) -- i.e. \(\mathbb{R}\)-linear endomorphisms \(C^\infty(G) \to
-C^\infty(G)\) of finite order, as defined in Coutinho's \citetitle{coutinho}
-\cite[ch.~3]{coutinho} for example. Algebras of differential operators and
-their modules are the subject of the theory of \(D\)-modules, which has seen
-remarkable progress in the past century. Specifically, we find\dots
+C^\infty(G)\) of finite order, as defined in \cite[ch.~3]{coutinho} for
+example. Algebras of differential operators and their modules are the subject
+of the theory of \(D\)-modules, which has seen remarkable progress in the past
+century. Specifically, we find\dots
 
 \begin{proposition}\label{thm:geometric-realization-of-uni-env}
   Let \(G\) be a Lie group and \(\mathfrak{g}\) be its Lie algebra. Denote by