eja: minor update to HadamardEJA docs.

[sage.d.git] / mjo / eja / eja_algebra.py

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 6b5b090fbefc4a51bfbedaf5a64d997ec7cfad64..c86cdff0e4ab056292ac248289aee6a876332739 100644 (file)
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -2800,12 +2800,13 @@ class AlbertEJA(OctonionHermitianEJA):
 
 class HadamardEJA(RationalBasisEJA, ConcreteEJA):
     """
-    Return the Euclidean Jordan Algebra corresponding to the set
-    `R^n` under the Hadamard product.
+    Return the Euclidean Jordan algebra on `R^n` with the Hadamard
+    (pointwise real-number multiplication) Jordan product and the
+    usual inner-product.
 
-    Note: this is nothing more than the Cartesian product of ``n``
-    copies of the spin algebra. Once Cartesian product algebras
-    are implemented, this can go.
+    This is nothing more than the Cartesian product of ``n`` copies of
+    the one-dimensional Jordan spin algebra, and is the most common
+    example of a non-simple Euclidean Jordan algebra.
 
     SETUP::
 
@@ -2836,7 +2837,6 @@ class HadamardEJA(RationalBasisEJA, ConcreteEJA):
 
         sage: HadamardEJA(3, prefix='r').gens()
         (r0, r1, r2)
-
     """
     def __init__(self, n, field=AA, **kwargs):
         if n == 0: