- This may require supporting "basis" as a list of basis vectors
- (as opposed to superalgebra elements) in the subalgebra constructor.
-
-7. The inner product should be an *argument* to the main EJA
- constructor. Afterwards, the basis normalization step should be
- optional (and enabled by default) for ALL algebras, since any
- algebra can have a nonstandard inner-product and its basis can be
- normalized with respect to that inner- product. For example, the
- HadamardEJA could be equipped with an inner- product that is twice
- the usual one. Then for the basis to be orthonormal, we would need
- to divide e.g. (1,0,0) by <(1,0,0),(1,0,0)> = 2 to normalize it.
-
-8. Use charpoly for inverse itself?
-
-9. Pre-cache charpoly for some small algebras?
+5. Profile the construction of "large" matrix algebras (like the
+ 15-dimensional QuaternionHermitianAlgebra(3)) to find out why
+ they're so slow.