6. Instead of storing a basis multiplication matrix, just make
product_on_basis() a cached method and manually cache its
entries. The cython cached method lookup should be faster than a
- python-based matrix lookup anyway.
+ python-based matrix lookup anyway. NOTE: we should still be able
+ to recompute the table somehow. Is this worth it?
7. What the ever-loving fuck is this shit?
sage: e0*[[[[]]]]
[[[[]]]]*e0
-8. Factor out a class for matrices with real embeddings (i.e. not the
- octonions).
-
-9. In fact, could my octonion matrix algebra be generalized for any
+8. 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...
-10. Add HurwitzMatrixAlgebra subclass between MatrixAlgebra and
- OctonionMatrixAlgebra.
+9. Add HurwitzMatrixAlgebra subclass between MatrixAlgebra and
+ OctonionMatrixAlgebra.