eja: add another TODO item.

[sage.d.git] / mjo / eja / TODO

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index b8ceda8fa3defcb3df1a5641ab03eed28c910ee9..82c49d53d883d40712b66897c115ed1e58fa430f 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,19 +1,15 @@
-A. Add tests for orthogonality in the Peirce decomposition.
+1. Add references and start citing them.
 
-B. Add support for a symmetric positive-definite bilinear form in
-   the JordanSpinEJA.
+2. Profile (and fix?) any remaining slow operations.
 
-1. Add CartesianProductEJA.
+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...
 
-2. Check the axioms in the constructor when check != False?
+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.
 
-3. Add references and start citing them.
-
-4. Implement the octonion simple EJA.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
-
-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().
+5. Add dimension bounds on any tests over AA that compute element
+   subalgebras.