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
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.