X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=a9158127e857ccea2b430dc60d91a0465b010480;hb=e6a97298e3bd565b460c024d6edf53421ef9f201;hp=382fb6e67d6050dd6e8215ad2d371a5be3022057;hpb=403848519cc35245713ffb96b2372deb1ee1c621;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 382fb6e..a915812 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,3 +1,5 @@
+0. Add tests for orthogonality in the Peirce decomposition.
+
 1. Add CartesianProductEJA.
 
 2. Check the axioms in the constructor when check != False?
@@ -6,12 +8,11 @@
 
 4. Implement the octonion simple EJA.
 
-5. Factor out the Jordan axiom and norm tests once all of the
-   algebras pass.
+5. Factor out the unit-norm basis (and operator symmetry) tests once
+   all of the algebras pass.
 
-6. Create Element subclasses for the matrix EJAs, and then override
-   their characteristic_polynomial() method to create a new algebra
-   over the rationals (with a non-normalized basis). We can then
-   compute the charpoly quickly by passing the natural representation
-   of the given element into the new algebra and computing its charpoly
-   there. (Relies on the theory to ensure that the charpolys are equal.)
\ 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(). This would also allow us to potentially
+   pass a "size" of zero to the other constructors in random_eja() --
+   a code path that is basically untested right now.