eja: update a few TODO items.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index b8ceda8fa3defcb3df1a5641ab03eed28c910ee9..f49bde15a52f31f7147481cf4eada29317b091e1 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,19 +1,26 @@
-A. Add tests for orthogonality in the Peirce decomposition.
+1. Add CartesianProductEJA.
 
-B. Add support for a symmetric positive-definite bilinear form in
-   the JordanSpinEJA.
+2. Add references and start citing them.
 
-1. Add CartesianProductEJA.
+3. Implement the octonion simple EJA.
 
-2. Check the axioms in the constructor when check != False?
+4. Factor out the unit-norm basis (and operator symmetry) tests once
+   all of the algebras pass.
 
-3. Add references and start citing them.
+5. Override inner_product(), _max_test_case_size(), et cetera in
+   DirectSumEJA.
 
-4. Implement the octonion simple EJA.
+6. Switch to QQ in *all* algebras for _charpoly_coefficients().
+   This only works when we know that the basis can be rationalized...
+   which is the case at least for the concrete EJAs we provide,
+   but not in general.
 
-5. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
+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.
 
-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 may require supporting "basis" as a list of basis vectors
+   (as opposed to superalgebra elements) in the subalgebra constructor.