- Commit
- c3789a205e7abf6f081baa150631150dcf3d559a
- Parent
- a9a2e0c91cfa4d0de46488591ef03da9a509a4ba
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Fixed a typo
Source code for my notes on representations of semisimple Lie algebras and Olivier Mathieu's classification of simple weight modules
Fixed a typo
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