From 66a672c6c1657ad96422fcdb4828bc5d9a108ab0 Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Thu, 4 Jun 2020 09:19:00 -0400 Subject: [PATCH] mjo-linear_algebra.tex: update a comment before abusing notation. I'm about to use \Hn to denote the Hermitian matrices over a general, specified field. So first let's document that. --- mjo-linear_algebra.tex | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/mjo-linear_algebra.tex b/mjo-linear_algebra.tex index c57e9b9..a534523 100644 --- a/mjo-linear_algebra.tex +++ b/mjo-linear_algebra.tex @@ -151,7 +151,9 @@ % The space of complex Hermitian n-by-n matrices. Does not reduce to % merely "H" when n=1 since H^{n} does not mean an n-fold cartesian -% product of H^{1}. +% product of H^{1}. The field may also be given rather than assumed +% to be complex; for example \Hn[3]\of{\mathbb{O}} might denote the +% 3-by-3 Hermitian matrices with octonion entries. \newcommand*{\Hn}[1][n]{ \mathcal{H}^{#1} } \ifdefined\newglossaryentry \newglossaryentry{Hn}{ -- 2.44.2