#18700: Group algebras should have a coercion inherited from coercions of the
underlying groups
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.8
Component: coercion | Resolution:
Keywords: group algebras | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: | Stopgaps:
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Comment (by tscrim):
Actually, `GroupAlgebra` already has this behavior. However `algebra()`
does not return the group algebra by default. I think we need 2 changes:
1 - `algebra()` checks if `self` is a group (it already checks for
inclusion in finite groups).
2 - We need a subclass of `CombinatorialFreeModule` which inherits the
coercions in general, say a `SemigroupAlgebra`.
I think both changes are relatively easy since for the second we can
canabalize a good part of the `GroupAlgebra` code. However if 2 is
contraversal/harder-than-I-thought, then we should just do 1 here as we
need this for #18453 and do a followup for 2.
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Ticket URL: <http://trac.sagemath.org/ticket/18700#comment:1>
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