mjo/eja/TODO

   1 1. Add CartesianProductEJA.
   2
   3 2. Add references and start citing them.
   4
   5 3. Implement the octonion simple EJA.
   6
   7 4. Factor out the unit-norm basis (and operator symmetry) tests once
   8    all of the algebras pass.
   9
  10 5. Override random_instance(), one(), et cetera in DirectSumEJA.
  11
  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,
  15    but not in general.
  16
  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
  22    save time.
  23
  24    This may require supporting "basis" as a list of basis vectors
  25    (as opposed to superalgebra elements) in the subalgebra constructor.
  26
  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
  31    result."