X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=421e0e9450bd18bab8fc5b9f0c75c738df099080;hb=7c21799d680433b62d48ca79cc2ea8f27e1cd8da;hp=535ee9c94013ee4ca06d449a446292bb72df4a29;hpb=72a75a3d30bb108a4d2be13c096a16578f0bb0e6;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 535ee9c..421e0e9 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,14 +1,10 @@ -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 unit-norm basis (and operator symmetry) tests once - all of the algebras pass. - -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(). +4. Conjecture: if x = (x1,x2), then det(x) = det(x1)det(x2).