X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=fb89e5edc905cea8475fb2349b3318e4aad22947;hb=9dc3876d4313b1292111aa6ff56be168606fe9fd;hp=3e3b9e736b2241b1baacae62e4cadc98ce3869a8;hpb=5b0dc16eb09423b88eba78ed5667541d90fff17b;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 3e3b9e7..fb89e5e 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,13 +1,12 @@
-1. Add CartesianProductEJA.
+1. Add references and start citing them.
 
-2. Check the axioms in the constructor when check != False?
+2. Profile (and fix?) any remaining slow operations.
 
-3. Add references and start citing them.
+3. When we take a Cartesian product involving a trivial algebra, we
+   could easily cache the identity and charpoly coefficients using
+   the nontrivial factor. On the other hand, it's nice that we can
+   test out some alternate code paths...
 
-4. Implement the octonion simple EJA.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
-
-6. Add a TrivialEJA class and use it in the tests for is_trivial().
-   The random_eja() function should also be able to return these.
+4. Conjecture: if x = (x1,x2), then det(x) = det(x1)det(x2). This
+   should be used to fix the fact that det(x) is monstrously slow in
+   Cartesian product algebras, and thus randomly in the doctests.