#16926: Merge the features of SymmetricGroupAlgebra and SymmetricGroup.algebra
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Reporter: nthiery | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.4
Component: combinatorics | Resolution:
Keywords: | Merged in:
Authors: | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by tscrim):
I don't really like the idea of putting into a category as opposed to
having a proper ABC. Doing with an ABC means we can have automatic
coercion by just doing:
{{{#!python
def _coerce_map_from_(self, X):
if isinstance(X, SGA_abstract):
return True
return super(SGA_abstract, self)._coerce_map_from_(X)
}}}
(We can't do this with categories, nor do I think we should for that
matter.)
Also as you mentioned, it's overkill to me. Also if we were to have this
in the category, we'd still have to override the `algebra` method (or
worse, a check on the group in the generic group algebra). Although I'm
still of the opinion that we should merge the generic group algebra of
S,,n,, into `SymmetricGroupAlgebra` and get that to work. I'm not sure
what we'll need/want to do w.r.t. the Weyl group one, I haven't thought
about how this will figure in yet.
Also since this is the same object in the "same" realization, IMO the
`WithRealizations` framework shouldn't be used here either. It also
possible to convince to go this route, but I don't really think it'll be
the best way.
--
Ticket URL: <http://trac.sagemath.org/ticket/16926#comment:12>
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