#19506: Implement cellular algebras
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Reporter: tscrim | Owner: sage-combinat
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.10
Component: categories | Resolution:
Keywords: cellular algebra | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/categories/cellular_algebras-19506|
98bc475b9dd6b3915399b2b2d067ee346395b740
Dependencies: | Stopgaps:
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Comment (by tscrim):
Okay, so I've tried working on reducing the input for the cellular algebra
down to 2 indices at the level of the category and I was running into
trouble. I think what I will have to do to implement this is do a subclass
of `CellularBasis` which overrides the category methods.
I'm not sure if I want to put the Iwahori-Hecke algebra into the cellular
algebras category unless there is a way we can do it for all (finite)
Coxeter groups. This would also work as a good followup ticket too IMO.
The other big thing I want to do is get the action extended to the base
algebra and working on the simple modules.
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Ticket URL: <http://trac.sagemath.org/ticket/19506#comment:14>
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