- Commit
- 0becfef59fe7786e9d570f9f26840a861bc8ef64
- Parent
- 6caa44df472f9c634eede58c6f00a3f0a1a0e428
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Merge branch 'master' into module-notation
Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Merge branch 'master' into module-notation
1 file changed, 2 insertions, 2 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Modified | sections/sl2-sl3.tex | 4 | 2 | 2 |
diff --git a/sections/sl2-sl3.tex b/sections/sl2-sl3.tex @@ -1,4 +1,4 @@ -\chapter{Low-Dimensional Examples}\label{ch:sl3} +\chapter{Representations of \(\mathfrak{sl}_2(K)\) \& \(\mathfrak{sl}_3(K)\)}\label{ch:sl3} We are, once again, faced with the daunting task of classifying the finite-dimensional modules of a given (semisimple) algebra \(\mathfrak{g}\). @@ -259,7 +259,7 @@ for \(\mathfrak{sl}_3(K)\), hoping this will somehow lead us to a general solution. In the process of doing so we will find some important clues on why \(h\) was a sure bet and the race was fixed all along. -\section{Representations of \(\mathfrak{sl}_3(K)\)}\label{sec:sl3-reps} +\section{Representations of \(\mathfrak{sl}_{2 + 1}(K)\)}\label{sec:sl3-reps} The study of representations of \(\mathfrak{sl}_2(K)\) reminds me of the difference between the derivative of a function \(\mathbb{R} \to \mathbb{R}\)