eja: add "check" parameter to check if our field is real.

[sage.d.git] / mjo / eja / TODO

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 7285d4aae1c90713348bfbc7126e78d67958944c..b2495b59f3264e5d638a59f6630daa77214cdb50 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,3 +1,19 @@
 1. Add CartesianProductEJA.
 
 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?