eja: add a TODO for tomorrow.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index b8ceda8fa3defcb3df1a5641ab03eed28c910ee9..bb2b7f30069dda7ba5b1c63ec7062f1ab397c596 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,19 +1,17 @@
-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. Can we hit "x" with the deortho matrix and delegate to the
+   _rational_algebra to speed up minimal_polynomial?
 
-3. Add references and start citing them.
+5. In CartesianProductEJA we already know the multiplication table and
+   inner product matrix. Refactor things until it's no longer
+   necessary to duplicate that work.
 
-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().
+6. Eliminate the matrix_space() override in CartesianProductEJA.