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

Commit
af132e871fb6bf2630a04067702f4e0556f8bca1
Parent
16464140707f877c0dd0c7be5d7a893658819c6d
Author
Pablo <pablo-escobar@riseup.net>
Date

Fixed an error in an equation

Diffstat

1 file changed, 2 insertions, 1 deletion

Status File Name N° Changes Insertions Deletions
Modified sections/semisimple-algebras.tex 3 2 1 
diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -2227,7 +2227,8 @@ Moreover, we find\dots
           F_{\alpha_2} \cdots F_{\alpha_n} v^+ \\
       & \;\; \vdots \\
       & = (\alpha_1 + \cdots + \alpha_n)(H) \cdot
-          F_{\alpha_1} \cdots F_{\alpha_n} H v^+ \\
+          F_{\alpha_1} \cdots F_{\alpha_n} v^+
+        + F_{\alpha_1} \cdots F_{\alpha_n} H v^+ \\
       & = (\lambda + \alpha_1 + \cdots + \alpha_n)(H) \cdot
           F_{\alpha_1} \cdots F_{\alpha_n} v^+ \\
       & \therefore F_{\alpha_1} \cdots F_{\alpha_n} v^+