eja: add an optimization to the TODO.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index e576af22e155bd21edc97b934a024dcf844ce356..382fb6e67d6050dd6e8215ad2d371a5be3022057 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -5,3 +5,13 @@
 3. Add references and start citing them.
 
 4. Implement the octonion simple EJA.
+
+5. Factor out the Jordan axiom and norm tests once all of the
+   algebras pass.
+
+6. Create Element subclasses for the matrix EJAs, and then override
+   their characteristic_polynomial() method to create a new algebra
+   over the rationals (with a non-normalized basis). We can then
+   compute the charpoly quickly by passing the natural representation
+   of the given element into the new algebra and computing its charpoly
+   there. (Relies on the theory to ensure that the charpolys are equal.)
\ No newline at end of file