From: Michael Orlitzky <michael@orlitzky.com>
Date: Thu, 29 Aug 2019 23:08:33 +0000 (-0400)
Subject: eja: ensure that we can construct RealSymmetricEJA over AA and RR.
X-Git-Url: http://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=d1e6a3eebe7484d10e75737c57ba3f6e6fd3e0d5;p=sage.d.git

eja: ensure that we can construct RealSymmetricEJA over AA and RR.
---

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 3cb7467..5679254 100644
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -1020,6 +1020,7 @@ class MatrixEuclideanJordanAlgebra(FiniteDimensionalEuclideanJordanAlgebra):
         Xu = cls.real_unembed(X)
         Yu = cls.real_unembed(Y)
         tr = (Xu*Yu).trace()
+
         if tr in RLF:
             # It's real already.
             return tr
@@ -1074,6 +1075,14 @@ class RealSymmetricEJA(RealMatrixEuclideanJordanAlgebra, KnownRankEJA):
         sage: e2*e2
         e2
 
+    In theory, our "field" can be any subfield of the reals::
+
+        sage: RealSymmetricEJA(2, AA)
+        Euclidean Jordan algebra of dimension 3 over Algebraic Real Field
+        sage: RealSymmetricEJA(2, RR)
+        Euclidean Jordan algebra of dimension 3 over Real Field with
+        53 bits of precision
+
     TESTS:
 
     The dimension of this algebra is `(n^2 + n) / 2`::