X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=a5e81b910c68f59edb9d306b391d6d6f4b521f2c;hb=02bb28968221a0f077b49205e2746abd8c5450d9;hp=b2495b59f3264e5d638a59f6630daa77214cdb50;hpb=5ce914aa8f29ad8d9d80b85b8ea33dd0cd735d4f;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index b2495b5..a5e81b9 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,19 +1,17 @@ -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. +5. The rational_algebra() stuff doesn't really belong in classes that + don't derive from RationalBasisEJA or its as-yet-nonexistent + element class. -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? +6. Drop "FiniteDimensional" everywhere.