X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=dc987dfe1b6dd3158b3caeb39ec777b7f8f4c7e9;hb=dc92538d3fc92d16c9b6432ad17c37cb0d6b2be9;hp=98314cea72c13f0d58a54f2e16ad0067e740336b;hpb=a7fa05ef3da8b47cc4962de23e1313a5f6ef6374;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 98314ce..dc987df 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,23 +1,15 @@ -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. +4. Add dimension bounds on any tests over AA that compute element + subalgebras. -5. Factor out the unit-norm basis (and operator symmetry) tests once - all of the algebras pass. - -6. Implement spectral projector decomposition for EJA operators - using jordan_form() or eigenmatrix_right(). I suppose we can - ignore the problem of base rings for now and just let it crash - if we're not using AA as our base field. - -7. Do we really need to orthonormalize the basis in a subalgebra? - So long as we can decompose the operator (which is invariant - under changes of basis), who cares? - -8. Ensure that we can construct all algebras over both AA and RR. - -9. Check that our field is a subring of RLF. +5. The rational_algebra() stuff doesn't really belong in classes that + don't dervice from RationalBasisEJA or its as-yet-nonexistent + element class.