diff --git a/sections/mathieu.tex b/sections/mathieu.tex
@@ -283,12 +283,13 @@ relationship is well understood. Namely, Fernando himself established\dots
\mathfrak{g}\) is another parabolic subalgebra, \(V\) is an irreducible
cuspidal \(\mathfrak{p}\)-module and \(W\) is an irreducible cuspidal
\(\mathfrak{p}'\)-module then \(L_{\mathfrak{p}}(V) \cong
- L_{\mathfrak{p}'}(W)\) if, and only if \(\mathfrak{p}' = \mathfrak{p}^w\) and
- \(W \cong V^w\) for some \(w \in \mathcal{W}_V\), where
+ L_{\mathfrak{p}'}(W)\) if, and only if \(\mathfrak{p}' =
+ \mathfrak{p}^\sigma\) and \(W \cong V^\sigma\) for some \(\sigma \in
+ \mathcal{W}_V\), where
\[
\mathcal{W}_V
= \langle
- T_\beta : \beta \in \Sigma, H_\beta + \mathfrak{u}
+ \sigma_\beta : \beta \in \Sigma, H_\beta + \mathfrak{u}
\ \text{is central in}\ \mfrac{\mathfrak{p}}{\mathfrak{u}}
\ \text{and}\ H_\beta\ \text{acts as a positive integer in}\ V
\rangle