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: aebf9810d9f7948924ba3590c3d1562d82cf75aa
Parent: 382c22ef3d6a4f500a5f1ac35feaebbd5b1fa8d9
Author: Pablo <pablo-escobar@riseup.net>
Date: Sat, 31 Dec 2022 20:37:43 +0000

Added some further clarification on what we assume

Diffstat

1 file changed, 8 insertions, 6 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/preface.tex	14	8	6

diff --git a/sections/preface.tex b/sections/preface.tex
@@ -19,12 +19,14 @@ relevant results.
 Hence some results are left unproved. Nevertheless, we include numerous
 references throughout the text to other materials where the reader can find
 complete proofs. We will assume basic knowledge of abstract algebra. In
-particular, we assume that the reader is familiarized with multi-linear algebra
-and the theory of modules over a ring. Understanding some examples in the
-introductory chapter requires basic knowledge of differential and algebraic
-geometry, as well as rings of differential operators, but these examples are
-not necessary to the comprehension of the following chapters. Additional topics
-will be covered in the notes as needed.
+particular, we assume that the reader is familiarized with multi-linear
+algebra, the theory of modules over an algebra and exact sequences. We also
+assume familiarity with the language of categories, functors and adjunctions.
+Understanding some examples in the introductory chapter requires basic
+knowledge of differential and algebraic geometry, as well as rings of
+differential operators, but these examples are not necessary to the
+comprehension of the following chapters. Additional topics will be covered in
+the notes as needed.
 
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