From: Michael Orlitzky <michael@orlitzky.com>
Date: Mon, 23 Nov 2020 03:17:16 +0000 (-0500)
Subject: eja: add another big TODO item.
X-Git-Url: https://gitweb.michael.orlitzky.com/?a=commitdiff_plain;h=0cd1482ab4d38ca850e2f6ee1203038c8cbd9bb1;p=sage.d.git

eja: add another big TODO item.
---

diff --git a/mjo/eja/TODO b/mjo/eja/TODO
index f09191e..220a701 100644
--- 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.