eja: add another big TODO item.

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f09191e3890ea4589ccc5fae3da3e27c2a23b6b8..220a70193014f215b25758fe39f42c82e1fbfbc4 100644 (file)
--- a/mjo/eja/TODO
+++ b/mjo/eja/TODO
@@ -22,3 +22,12 @@
    (as opposed to superalgebra elements) in the subalgebra constructor.
 
 7. Use charpoly for inverse stuff if it's cached.
+
+8. 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.