X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2FTODO;h=39daf2a796c0d9d21c21057ae0899dacf4fbed89;hb=e5b0be0dcbe6cbce15e0b9974fcfb6626f4afda0;hp=2fb5505439e6530cdc7e6c9d31ad06941937918f;hpb=07e5949ccb09f26fe6e1bd8e2e135c7eab680466;p=sage.d.git

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index 2fb5505..39daf2a 100644
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -24,10 +24,10 @@ 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.
 
 7. Every once in a long while, the test
 
@@ -37,4 +37,6 @@ 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
 
    in eja_element.py returns False.
 
-8. Add an alias for AlbertAlgebra.
+8. The definition of product_on_basis() and the element constructor
+   for MatrixAlgebra are totally wrong. There's no reason to expect
+   a product of monomials to again be plus/minus a monomial.