X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=9cee421b4f5cacee4e623a6b4d1099c191eeaf72;hb=f0cabe7c6e37781e4f92c9ba0e0c7413a5f6b939;hp=382fb6e67d6050dd6e8215ad2d371a5be3022057;hpb=403848519cc35245713ffb96b2372deb1ee1c621;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 382fb6e..9cee421 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,17 +1,11 @@ -1. Add CartesianProductEJA. +1. Add references and start citing them. -2. Check the axioms in the constructor when check != False? +2. Profile (and fix?) any remaining slow operations. -3. Add references and start citing them. +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. Implement the octonion simple EJA. - -5. Factor out the Jordan axiom and norm tests once all of the - algebras pass. - -6. Create Element subclasses for the matrix EJAs, and then override - their characteristic_polynomial() method to create a new algebra - over the rationals (with a non-normalized basis). We can then - compute the charpoly quickly by passing the natural representation - of the given element into the new algebra and computing its charpoly - there. (Relies on the theory to ensure that the charpolys are equal.) \ No newline at end of file +4. Add dimension bounds on any tests over AA that compute element + subalgebras.