X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=9cee421b4f5cacee4e623a6b4d1099c191eeaf72;hb=f0cabe7c6e37781e4f92c9ba0e0c7413a5f6b939;hp=ffa4f7c4ca0ccf3e2a72b6bfd996e9c30ec29fde;hpb=8c7f591dbf56e96a29b347017d061b244dd267a5;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index ffa4f7c..9cee421 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,33 +1,11 @@ -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. - -5. Override random_instance(), one(), et cetera in DirectSumEJA. - -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. - -8. Implement random_instance() for general algebras as random_eja(). - Copy/paste the "general" construction into the other classes that - can use it. The general construction can be something like "call - random_instance() on something that inherits me and return the - result." - -9. Use charpoly for inverse stuff if it's cached. +4. Add dimension bounds on any tests over AA that compute element + subalgebras.