X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=76b9eaf1dcf19f3c8385bd1f0486128b005ca3f2;hb=93e7b502538bd416c11a81cd0b8f47c24e934691;hp=382fb6e67d6050dd6e8215ad2d371a5be3022057;hpb=403848519cc35245713ffb96b2372deb1ee1c621;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 382fb6e..76b9eaf 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,17 +1,20 @@
 1. Add CartesianProductEJA.
 
-2. Check the axioms in the constructor when check != False?
+2. Add references and start citing them.
 
-3. Add references and start citing them.
+3. Implement the octonion simple EJA.
 
-4. Implement the octonion simple EJA.
+4. Factor out the unit-norm basis (and operator symmetry) tests once
+   all of the algebras pass.
 
-5. Factor out the Jordan axiom and norm tests once all of the
-   algebras pass.
+5. Override inner_product(), _max_test_case_size(), et cetera in
+   DirectSumEJA.
 
-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. Switch to QQ in *all* algebras for _charpoly_coefficients().
+
+7. Pass already_echelonized (default: False) and echelon_basis
+   (default: None) into the subalgebra constructor. The value of
+   already_echelonized can be passed to V.span_of_basis() to save
+   some time, and usinf e.g. FreeModule_submodule_with_basis_field
+   we may somehow be able to pass the echelon basis straight in to
+   save time.