eja: rename operator_inner_product -> operator_trace inner_product.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f49bde15a52f31f7147481cf4eada29317b091e1..b0d5378fab6ed7c7c981aaf0fd9a044ca18a1b07 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,26 +1,20 @@
-1. Add CartesianProductEJA.
+1. Add references and start citing them.
 
-2. Add references and start citing them.
+2. Profile (and fix?) any remaining slow operations.
 
-3. Implement the octonion simple EJA.
+3. When we take a Cartesian product involving a trivial algebra, we
+   could easily cache the identity and charpoly coefficients using
+   the nontrivial factor. On the other hand, it's nice that we can
+   test out some alternate code paths...
 
-4. Factor out the unit-norm basis (and operator symmetry) tests once
-   all of the algebras pass.
+4. Add dimension bounds on any tests over AA that compute element
+   subalgebras.
 
-5. Override inner_product(), _max_test_case_size(), et cetera in
-   DirectSumEJA.
+5. The rational_algebra() stuff doesn't really belong in classes that
+   don't derive from RationalBasisEJA or its as-yet-nonexistent
+   element class.
 
-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.
-
-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.
-
-   This may require supporting "basis" as a list of basis vectors
-   (as opposed to superalgebra elements) in the subalgebra constructor.
+6. Add special det/trace method overrides for the algebras where we
+   know them? The only reason this might be tricky is because the
+   obvious solution is to subclass EJAElement, but then we might
+   collide with e.g. the Cartesian product element subclass.