#13872: Non-exceptional rigged configuration bijections
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_work
Priority: major | Milestone: sage-6.0
Component: combinatorics | Resolution:
Keywords: rigged | Merged in:
configurations bijection | Reviewers: Anne Schilling
crystals, days54 | Work issues:
Authors: Travis Scrimshaw | Commit:
Report Upstream: N/A | 9ce80e5a6d0aefe349f44dbf162a19f4ba7b8c81
Branch: | Stopgaps:
public/combinat/rigged_configurations/bijections-13872|
Dependencies: #13838 #14519 |
#14402 #14157 #13605 |
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Comment (by aschilling):
Hi Travis,
The implementation of the fermionic sum does not seem correct. As is
stated in the documentation, it depends on a weight \lambda whereas the
implementation does not take a weight as an input! You can compare against
the highest weight terms in
{{{
sage: K = KirillovReshetikhinCrystal(['A',2,1],1,1)
sage: T = TensorProductOfCrystals(K,K)
sage: T.one_dimensional_configuration_sum()
B[-2*Lambda[1] + 2*Lambda[2]] + (q+1)*B[-Lambda[1]] + (q+1)*B[Lambda[1] -
Lambda[2]] + B[2*Lambda[1]] + B[-2*Lambda[2]] + (q+1)*B[Lambda[2]]
}}}
to check that your result is correct.
Anne
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Ticket URL: <http://trac.sagemath.org/ticket/13872#comment:38>
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