X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=207c06d9156b38ac485f2de3a4d836089aa68d0b;hb=8698debba196d8746c1a32d8e6866085b6cb2161;hp=b2495b59f3264e5d638a59f6630daa77214cdb50;hpb=49f266e16de87af712beb680570ff39e2ae87de4;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index b2495b5..207c06d 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -1,3 +1,5 @@ +A. Add tests for orthogonality in the Peirce decomposition. + 1. Add CartesianProductEJA. 2. Check the axioms in the constructor when check != False? @@ -9,11 +11,6 @@ 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? +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().