X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=b2495b59f3264e5d638a59f6630daa77214cdb50;hb=bd94f055a5fdd9385c4014b74e115a7f5f0223fd;hp=750cdc87a3f204f422aa53ec5fb9affe72fa9d1b;hpb=e803d4ed910a8220535b713fde852f2111ebc947;p=sage.d.git diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 750cdc8..b2495b5 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -9,5 +9,11 @@ 5. Factor out the unit-norm basis (and operator symmetry) tests once all of the algebras pass. -6. Refactor the current ungodly fast charpoly hack (relies on the - theory to ensure that the charpolys are equal.) +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?