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
238d43d057209dd9e5a584d35286cf3284c19402
Parent
4f800549d96246c5cdde1b5fcc18b8437dfc6374
Author
Pablo <pablo-escobar@riseup.net>
Date

Fixed a typo

Diffstat

1 file changed, 1 insertion, 1 deletion

Status File Name N° Changes Insertions Deletions
Modified sections/complete-reducibility.tex 2 1 1
diff --git a/sections/complete-reducibility.tex b/sections/complete-reducibility.tex
@@ -86,7 +86,7 @@ this is not always the case. For instance\dots
   is a representation of the Lie algebra \(K[x]\). Notice \(V\) has a single
   nonzero proper subrepresentation, which is spanned by the vector \((1, 0)\).
   This is because if \((a + b, b) = \rho(x) \ (a, b) = \lambda (a, b)\) for
-  some \(\lambda \in \mathbb{C}\) then \(\lambda = 1\) and \(b = 0\). Hence \(V\) is
+  some \(\lambda \in K\) then \(\lambda = 1\) and \(b = 0\). Hence \(V\) is
   indecomposable -- it cannot be broken into a direct sum of 1-dimensional
   subrepresentations -- but it is evidently not irreducible.
 \end{example}