eja: factor out a class for real-embedded matrices.

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

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f27df9cdc14c6e94cabd6a067285bc354ecd3cbe..13b00ac6a3056eaf623ac5c2905be6c7d049706c 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -20,3 +20,18 @@ 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
    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.
+
+7. What the ever-loving fuck is this shit?
+
+       sage: O = Octonions(QQ)
+       sage: e0 = O.monomial(0)
+       sage: e0*[[[[]]]]
+       [[[[]]]]*e0
+
+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...
+
+9. Add HurwitzMatrixAlgebra subclass between MatrixAlgebra and
+   OctonionMatrixAlgebra.