X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=d7db05d092cf03ddf48a84bf4dab995578597122;hb=2e96d7bbca8b654f79bc63b9cb09fe3ac6717ad4;hp=dd671c5fd7ab847a4c635748923bf0cba12a63ad;hpb=ba5ac5253ad25bf78e7655699d6d05630d91c1a5;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index dd671c5..d7db05d 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,44 +1,16 @@
-Trace inner product tests:
+0. Add tests for orthogonality in the Peirce decomposition.
 
-            TESTS:
+1. Add CartesianProductEJA.
 
-            The trace inner product is commutative::
+2. Check the axioms in the constructor when check != False?
 
-            sage: set_random_seed()
-            sage: J = random_eja()
-            sage: x = J.random_element(); y = J.random_element()
-            sage: x.trace_inner_product(y) == y.trace_inner_product(x)
-            True
+3. Add references and start citing them.
 
-            The trace inner product is bilinear::
+4. Implement the octonion simple EJA.
 
-            sage: set_random_seed()
-            sage: J = random_eja()
-            sage: x = J.random_element()
-            sage: y = J.random_element()
-            sage: z = J.random_element()
-            sage: a = QQ.random_element();
-            sage: actual = (a*(x+z)).trace_inner_product(y)
-            sage: expected = a*x.trace_inner_product(y) + a*z.trace_inner_product(y)
-            sage: actual == expected
-            True
-            sage: actual = x.trace_inner_product(a*(y+z))
-            sage: expected = a*x.trace_inner_product(y) +  a*x.trace_inner_product(z)
-            sage: actual == expected
-            True
+5. Factor out the unit-norm basis (and operator symmetry) tests once
+   all of the algebras pass.
 
-            The trace inner product is associative::
-
-            sage: pass
-
-            The trace inner product satisfies the compatibility
-            condition in the definition of 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).trace_inner_product(z) == y.trace_inner_product(x*z)
-            True
-	    
\ No newline at end of file
+6. Can we make the minimal and characteristic polynomial tests work
+   for trivial algebras, too? Then we wouldn't need the "nontrivial"
+   argument to random_eja().