1 1. Add CartesianProductEJA.
3 2. Add references and start citing them.
5 3. Implement the octonion simple EJA.
7 4. Factor out the unit-norm basis (and operator symmetry) tests once
8 all of the algebras pass.
10 5. Override random_instance(), one(), et cetera in DirectSumEJA.
12 6. Switch to QQ in *all* algebras for _charpoly_coefficients().
13 This only works when we know that the basis can be rationalized...
14 which is the case at least for the concrete EJAs we provide,
17 7. Pass already_echelonized (default: False) and echelon_basis
18 (default: None) into the subalgebra constructor. The value of
19 already_echelonized can be passed to V.span_of_basis() to save
20 some time, and usinf e.g. FreeModule_submodule_with_basis_field
21 we may somehow be able to pass the echelon basis straight in to
24 This may require supporting "basis" as a list of basis vectors
25 (as opposed to superalgebra elements) in the subalgebra constructor.
27 8. Implement random_instance() for general algebras as random_eja().
28 Copy/paste the "general" construction into the other classes that
29 can use it. The general construction can be something like "call
30 random_instance() on something that inherits me and return the
33 9. Use charpoly for inverse stuff if it's cached.