X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=9cee421b4f5cacee4e623a6b4d1099c191eeaf72;hb=f0cabe7c6e37781e4f92c9ba0e0c7413a5f6b939;hp=c9c264c436b198e02c39f7792307572c5efead7d;hpb=6eb5155f34449e38e92c75a0b471b5878a228ad8;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index c9c264c..9cee421 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -1,32 +1,11 @@
-1. Finish DirectSumEJA: add to_matrix(), random_instance(),
-   one()... methods. Make it subclass RationalBasisEuclideanJordanAlgebra.
-   This is not a general direct sum / cartesian product implementation,
-   it's used only with the other rationalbasis algebras (to make non-
-   simple EJAs out of the simple ones).
+1. Add references and start citing them.
 
-2. Add references and start citing them.
+2. Profile (and fix?) any remaining slow operations.
 
-3. Implement the octonion simple EJA.
+3. When we take a Cartesian product involving a trivial algebra, we
+   could easily cache the identity and charpoly coefficients using
+   the nontrivial factor. On the other hand, it's nice that we can
+   test out some alternate code paths...
 
-4. Pre-cache charpoly for some small algebras?
-
-RealSymmetricEJA(4):
-
-sage: F = J.base_ring()
-sage: a0 = (1/4)*X[4]**2*X[6]**2 - (1/2)*X[2]*X[5]*X[6]**2 - (1/2)*X[3]*X[4]*X[6]*X[7] + (F(2).sqrt()/2)*X[1]*X[5]*X[6]*X[7] + (1/4)*X[3]**2*X[7]**2 - (1/2)*X[0]*X[5]*X[7]**2 + (F(2).sqrt()/2)*X[2]*X[3]*X[6]*X[8] - (1/2)*X[1]*X[4]*X[6*X[8] - (1/2)*X[1]*X[3]*X[7]*X[8] + (F(2).sqrt()/2)*X[0]*X[4]*X[7]*X[8] + (1/4)*X[1]**2*X[8]**2 - (1/2)*X[0]*X[2]*X[8]**2 - (1/2)*X[2]*X[3]**2*X[9] + (F(2).sqrt()/2)*X[1]*X[3]*X[4]*X[9] - (1/2)*X[0]*X[4]**2*X[9] - (1/2)*X[1]**2*X[5]*X[9] + X[0]*X[2]*X[5]*X[9]
-
-5. Compute the scalar in the general natural_inner_product() for
-   matrices, so no overrides are necessary.
-
-6. The main EJA element constructor is happy to convert between
-   e.g. HadamardEJA(3) and JordanSpinEJA(3).
-
-7. Figure out if CombinatorialFreeModule's use of IndexedGenerators
-   can be used to replace the matrix_basis().
-
-8. Move the "field" argument to a keyword after basis, jp, and ip.
-
-9. Add back the check_field=False and check_axioms=False parameters
-   for the EJAs we've constructed ourselves. We can probably pass
-   the value of "check_axioms" to <whatever>.span_of_basis() to skip
-   the linear-independence check.
+4. Add dimension bounds on any tests over AA that compute element
+   subalgebras.