#13872: Non-exceptional rigged configuration bijections
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status:
Priority: major | needs_review
Component: combinatorics | Milestone: sage-5.12
Keywords: rigged configurations | Resolution:
bijection crystals | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
Dependencies: #13838 #14519 #14402 #14157 | Stopgaps:
#13605 |
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Comment (by aschilling):
Hi Travis,
I am also confused since the cardinalities do not match up in your code:
{{{
sage: RC = RiggedConfigurations(['D',4,2], [[3,1],[2,2],[1,2]])
sage: RC.cardinality()
403025
sage: K1 = KirillovReshetikhinCrystal(['D',4,2],3,1)
sage: K2 = KirillovReshetikhinCrystal(['D',4,2],2,2)
sage: K3 = KirillovReshetikhinCrystal(['D',4,2],1,2)
sage: T = TensorProductOfCrystals(K1,K2,K3)
sage: T.cardinality()
92120
}}}
Best,
Anne
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Ticket URL: <http://trac.sagemath.org/ticket/13872#comment:11>
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