X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=382fb6e67d6050dd6e8215ad2d371a5be3022057;hb=26a116dfe2e411b823c94303fea4bd4b893bf2e8;hp=7285d4aae1c90713348bfbc7126e78d67958944c;hpb=8b74269d8c59aa31306f1de713d6ce3fab9cb5de;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 7285d4a..382fb6e 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,3 +1,17 @@
 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 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