X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=38aa85bfe7a5c5ecc4b97c880c05533e42b5ad69;hb=ffabf130fc8fa05e68d9b3d55a1f3ccf89f5e390;hp=750cdc87a3f204f422aa53ec5fb9affe72fa9d1b;hpb=e803d4ed910a8220535b713fde852f2111ebc947;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 750cdc8..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?
@@ -9,5 +14,9 @@
 5. Factor out the unit-norm basis (and operator symmetry) tests once
    all of the algebras pass.
 
-6. Refactor the current ungodly fast charpoly hack (relies on the
-   theory to ensure that the charpolys are equal.)
+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.