Thanks for this, Simon. A while ago (Sage Days 10 in Nancy in 2008, in
fact) I said I was interested in hooking my GluCat Clifford algebra
implementation into the Coercion model of Sage. Well, I suppose it is
now Coercion  and Categories. I already have a fairly basic Cython
interface, but nothing like what you have described here. I suppose my
Clifford algebras over the Real numbers would be in the category of
associative algebras over a field. My GluCat library also implements
other products of two elements. Besides * for the Clifford product,
there is ^ for the Grassmann product, & for the Hestenes inner
product, and % for the left contraction.

Over the next few months, I will have a crack at trying to produce a
working interface, and will comment on any difficulties and gaps I
encounter. Is this mailing list (but not this thread) the right place
to do so?

Best regards, Paul

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