lie-algebras-and-their-representations

diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -447,7 +447,7 @@ The interesting thing about basis for \(\Delta\) is that they allow us to
 compare weights of a given representation. At this point the reader should be
 asking himself: how? Definition~\ref{def:basis-of-root} doesn't exactly screem
 ``comparison''. Well, the thing is that any choice of basis induces a partial
-order in \(Q\), where elements are ordered by their \emph{hights}.
+order in \(Q\), where elements are ordered by their \emph{heights}.
 
 \begin{definition}
   Let \(\Sigma = \{\beta_1, \ldots, \beta_k\}\) be a basis for \(\Delta\).