X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=b2495b59f3264e5d638a59f6630daa77214cdb50;hb=bd94f055a5fdd9385c4014b74e115a7f5f0223fd;hp=fcba1c0ea2e38a6e4dc9dbb8ba7c860179c08c20;hpb=107a5d3f653f8a4b33c6927110a63770b2be7f07;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index fcba1c0..b2495b5 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -3,3 +3,17 @@
 2. Check the axioms in the constructor when check != False?
 
 3. Add references and start citing them.
+
+4. Implement the octonion simple EJA.
+
+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?