- Commit
- b799fcd90729370309bae5fdd866095baba09c61
- Parent
- ff8d0204002ca07b45dc078e5028864021d785dd
- Author
- Pablo <pablo-escobar@riseup.net>
- Date
Minor tweaks in notation
A short lecture of mine on my scientific initiation project for 30th SIICUSP
Minor tweaks in notation
1 file changed, 7 insertions, 3 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Modified | main.tex | 10 | 7 | 3 |
diff --git a/main.tex b/main.tex @@ -219,8 +219,12 @@ \item \(\mathfrak{h} \subset \mathfrak{g}\) \emph{subálgebra de Cartan} \begin{gather*} V = \bigoplus_{\lambda \in \mathfrak{h}^*} V_\lambda \\ - V_\lambda - = \{v \in V : H v = \lambda(H) \cdot v \; \forall H \in \mathfrak{h} \} + V_\lambda = + \{ + v \in V : + H \cdot v = \lambda(H) \cdot v + \quad \forall H \in \mathfrak{h} + \} \end{gather*} \item \emph{Pesos}: ``autovalores'' da ação de \(\mathfrak{h}\) @@ -231,7 +235,7 @@ \item \(V\) é determinado por seu maior peso! \item Módulos de Verma \(M(\lambda) = \mathcal{U}(\mathfrak{g}) - \otimes_{\mathcal{U}(\mathfrak{b})} \mathbb{C}_\lambda\) + \otimes_{\mathcal{U}(\mathfrak{b})} k v_\lambda^+\) \begin{center} \begin{tikzcd} \cdots \arrow[bend left=60]{r}{-10}