X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=38aa85bfe7a5c5ecc4b97c880c05533e42b5ad69;hb=ffabf130fc8fa05e68d9b3d55a1f3ccf89f5e390;hp=e576af22e155bd21edc97b934a024dcf844ce356;hpb=d728cb9284177a5108fbf3e83128b60444d405a8;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index e576af2..38aa85b 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,3 +1,8 @@
+A. Add tests for orthogonality in the Peirce decomposition.
+
+B. Add support for a symmetric positive-definite bilinear form in
+   the JordanSpinEJA.
+
 1. Add CartesianProductEJA.
 
 2. Check the axioms in the constructor when check != False?
@@ -5,3 +10,13 @@
 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. Can we make the minimal and characteristic polynomial tests work
+   for trivial algebras, too? Then we wouldn't need the "nontrivial"
+   argument to random_eja().
+
+7. Solve the charpoly system with A_of_x.solve_right(x_powers[r])
+   rather than dumbass Cramer's rule.