lie-algebras-and-their-representations

diff --git a/sections/semisimple-algebras.tex b/sections/semisimple-algebras.tex
@@ -491,7 +491,7 @@ order. In addition, we may compare the elements of a given \(Q\)-coset
 \(\lambda + Q\) by comparing their difference with \(0 \in Q\). In other words,
 given \(\lambda \in \mu + Q\), we say \(\lambda \preceq \mu\) if \(\lambda -
 \mu \preceq 0\). In particular, since the weights of \(V\) all lie in a single
-\(Q\)-coset, we may compare them in this fashion. Given a basis \(\Sigma\) for
+\(Q\)-coset, we may compare them in this way. Given a basis \(\Sigma\) for
 \(\Delta\) we may take ``the highest weight of \(V\)'' as a maximal weight
 \(\lambda\) of \(V\). The obvious question then is: can we always find a basis
 for \(\Delta\)?