X-Git-Url: http://gitweb.michael.orlitzky.com/?p=sage.d.git;a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=f4b9515c4ed643bd1f9a13c6fc0d6cefa3d32879;hp=b8ceda8fa3defcb3df1a5641ab03eed28c910ee9;hb=HEAD;hpb=0ed6dd869beb5fecd91e3653243e9c899b12c36b diff --git a/mjo/eja/TODO b/mjo/eja/TODO index b8ceda8..b0d5378 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,19 +1,20 @@ -A. Add tests for orthogonality in the Peirce decomposition. +1. Add references and start citing them. -B. Add support for a symmetric positive-definite bilinear form in - the JordanSpinEJA. +2. Profile (and fix?) any remaining slow operations. -1. Add CartesianProductEJA. +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... -2. Check the axioms in the constructor when check != False? +4. Add dimension bounds on any tests over AA that compute element + subalgebras. -3. Add references and start citing them. +5. The rational_algebra() stuff doesn't really belong in classes that + don't derive from RationalBasisEJA or its as-yet-nonexistent + element class. -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(). +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.