X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=38aa85bfe7a5c5ecc4b97c880c05533e42b5ad69;hb=ffabf130fc8fa05e68d9b3d55a1f3ccf89f5e390;hp=f6d7743782613d241c50e05eee665d59278bd4b4;hpb=16825a1ceedeb8363b025cda56dc9f65f639f726;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f6d7743..38aa85b 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,3 +1,8 @@
+A. Add tests for orthogonality in the Peirce decomposition.
+
+B. Add support for a symmetric positive-definite bilinear form in
+   the JordanSpinEJA.
+
 1. Add CartesianProductEJA.
 
 2. Check the axioms in the constructor when check != False?
@@ -9,13 +14,9 @@
 5. Factor out the unit-norm basis (and operator symmetry) tests once
    all of the algebras pass.
 
-6. Refactor the current ungodly fast charpoly hack (relies on the
-   theory to ensure that the charpolys are equal.)
-
-7. If we factor out a "matrix algebra" class, then it would make sense
-   to replace the custom embedding/unembedding functions with static
-   _real_embedding() and _real_unembedding() methods.
-
-8. Implement random_instance() for the main EJA class.
+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().
 
-9. Implement random_instance() for the subalgebra class.
+7. Solve the charpoly system with A_of_x.solve_right(x_powers[r])
+   rather than dumbass Cramer's rule.