- Commit
- 40f3ff33edcec35e9da4e2ea7191ddf56e3456dd
- Parent
- 6b122954d025571e7a4ca57d1123ffbebdb13727
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Changed the title of chapter 3
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
Diffstats
1 files changed, 2 insertions, 2 deletions
| Status | Name | Changes | Insertions | Deletions |
| Modified | sections/sl2-sl3.tex | 2 files changed | 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 representations of a given (semisimple) algebra @@ -252,7 +252,7 @@ some of these results 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 \(\mathbb{R} \to \mathbb{R}\) and that of a