X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;ds=inline;f=mjo%2Feja%2FTODO;h=a9158127e857ccea2b430dc60d91a0465b010480;hb=e6a97298e3bd565b460c024d6edf53421ef9f201;hp=51c2a33b542569c431d986a0d165d8774b0d49eb;hpb=42e532c7a3cf00e2d6ce1e70d05435bf0d30010c;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 51c2a33..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?
@@ -9,13 +11,8 @@
 5. Factor out the unit-norm basis (and operator symmetry) tests once
    all of the algebras pass.
 
-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?
-
-8. Check that our field is a subring of RLF.
+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.