From: Michael Orlitzky <michael@orlitzky.com>
Date: Mon, 24 Jun 2019 16:06:12 +0000 (-0400)
Subject: eja: test that left-mult matrices are symmetric.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=4b1bdeb8c097e6c162cb0a32c07ba2740d89b1e5;p=sage.d.git

eja: test that left-mult matrices are symmetric.
---

diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py
index ce6f6e5..0b6b15d 100644
--- a/mjo/eja/euclidean_jordan_algebra.py
+++ b/mjo/eja/euclidean_jordan_algebra.py
@@ -39,6 +39,15 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
     class Element(FiniteDimensionalAlgebraElement):
         """
         An element of a Euclidean Jordan algebra.
+
+        Since EJAs are commutative, the "right multiplication" matrix is
+        also the left multiplication matrix and must be symmetric::
+
+            sage: set_random_seed()
+            sage: J = eja_ln(5)
+            sage: J.random_element().matrix().is_symmetric()
+            True
+
         """
 
         def __pow__(self, n):