eja: make OctonionHermitianEJAs RationalBasisEJAs.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f415681182dd18bf401aba539a66f916e4f0c191..17422851f81f5196cd47cc159004c326a848b115 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -24,10 +24,11 @@ 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
        sage: e0*[[[[]]]]
        [[[[]]]]*e0
 
-6. In fact, could my octonion matrix algebra be generalized for any
-   algebra of matrices over the reals whose entries are not real? Then
-   we wouldn't need real embeddings at all. They might even be fricking
-   vector spaces if I did that...
+6. Can we convert the complex/quaternion algebras to avoid real-
+   (un)embeddings? Quaternions would need their own
+   QuaternionMatrixAlgebra, since Sage matrices have to have entries
+   in a commutative ring. Those and the octonion stuff could be moved
+   to hurwitz.py along with the HurwitzMatrixAlgebra.
 
 7. Every once in a long while, the test