eja: add some more TODO items.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f6d7743782613d241c50e05eee665d59278bd4b4..b2495b59f3264e5d638a59f6630daa77214cdb50 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -9,13 +9,11 @@
 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.
-
-9. Implement random_instance() for the subalgebra class.
+6. Implement spectral projector decomposition for EJA operators
+   using jordan_form() or eigenmatrix_right(). I suppose we can
+   ignore the problem of base rings for now and just let it crash
+   if we're not using AA as our base field.
+
+7. Do we really need to orthonormalize the basis in a subalgebra?
+   So long as we can decompose the operator (which is invariant
+   under changes of basis), who cares?