\mathbb{C}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
-% The space of symmetric n-by-n matrices.
+% The space of real symmetric n-by-n matrices.
\providecommand*{\Sn}[1][n]{
\mathcal{S}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
}
+% The space of complex Hermitian n-by-n matrices.
+\providecommand*{\Hn}[1][n]{
+ \mathcal{H}\if\detokenize{#1}\detokenize{1}{}\else^{#1}\fi
+}
+
%
% Basic set operations
%
\newcommand*{\Snplus}[1][n]{ \Sn[#1]_{+} }
% The PSD cone in a space of Hermitian matrices.
-\newcommand*{\Hnplus}[1][n]{ \mathcal{H}^{{#1}}_{+} }
+\newcommand*{\Hnplus}[1][n]{ \Hn[#1]_{+} }
%