X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=76b9eaf1dcf19f3c8385bd1f0486128b005ca3f2;hb=93e7b502538bd416c11a81cd0b8f47c24e934691;hp=38aa85bfe7a5c5ecc4b97c880c05533e42b5ad69;hpb=09298a6b80a44847f506961e0eeccb8cdf2ad9d3;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 38aa85b..76b9eaf 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,22 +1,20 @@
-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?
+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.
-
-5. Factor out the unit-norm basis (and operator symmetry) tests once
+4. Factor out the unit-norm basis (and operator symmetry) tests once
    all of the algebras pass.
 
-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().
+5. Override inner_product(), _max_test_case_size(), et cetera in
+   DirectSumEJA.
+
+6. Switch to QQ in *all* algebras for _charpoly_coefficients().
 
-7. Solve the charpoly system with A_of_x.solve_right(x_powers[r])
-   rather than dumbass Cramer's rule.
+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.