eja: text the inner product axiom of an EJA.

diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py
index b25839815289ba6f60630a14b790dbfe29f8969b..3cec4fad035e0330e22598bd77f6e5b1dc9b6074 100644 (file)
--- a/mjo/eja/euclidean_jordan_algebra.py
+++ b/mjo/eja/euclidean_jordan_algebra.py
@@ -94,6 +94,20 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
         The inner product associated with this Euclidean Jordan algebra.
 
         Will default to the trace inner product if nothing else.
+
+        EXAMPLES:
+
+        The inner product must satisfy its axiom for this algebra to truly
+        be a Euclidean Jordan Algebra::
+
+            sage: set_random_seed()
+            sage: J = random_eja()
+            sage: x = J.random_element()
+            sage: y = J.random_element()
+            sage: z = J.random_element()
+            sage: (x*y).inner_product(z) == y.inner_product(x*z)
+            True
+
         """
         if (not x in self) or (not y in self):
             raise TypeError("arguments must live in this algebra")