X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=76b9eaf1dcf19f3c8385bd1f0486128b005ca3f2;hb=e78216245caff4f11de66433f28fd995f4670b78;hp=8d212e1d11fddf7d902b5f114d6143221f842be6;hpb=9d68578c0f1696cf78d18e9ad23f552a588f4075;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 8d212e1..76b9eaf 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,15 +1,20 @@
-0. Add tests for orthogonality in the Peirce decomposition.
-
 1. Add CartesianProductEJA.
 
-2. Check the axioms in the constructor when check != False?
-
-3. Add references and start citing them.
+2. Add references and start citing them.
 
-4. Implement the octonion simple EJA.
+3. 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. Rename the algebra "characteristic polynomial" method to
-   "characteristic polynomial of."
+5. Override inner_product(), _max_test_case_size(), et cetera in
+   DirectSumEJA.
+
+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.