+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. Pre-cache charpoly for some small algebras?
+
+9. Compute the scalar in the general natural_inner_product() for
+ matrices, so no overrides are necessary.
+
+10. The main EJA element constructor is happy to convert between
+ e.g. HadamardEJA(3) and JordanSpinEJA(3).
+
+11. Figure out if CombinatorialFreeModule's use of IndexedGenerators
+ can be used to replace the matrix_basis().