Opened 6 years ago

Last modified 6 years ago

#15444 closed defect

Two algorithms for k-charge do not give same answer — at Initial Version

Reported by: aschilling Owned by:
Priority: major Milestone: sage-6.1
Component: combinatorics Keywords: tableaux, charge
Cc: sage-combinat, zabrocki Merged in:
Authors: Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:


Currently, the two implementations of k-charge do not give the same answer:

sage: T = WeakTableaux(4,[4,3,2,1],[2,2,2,2,1,1],representation='bounded')
sage: for t in T:
    print t.k_charge(), t.k_charge(algorithm='J')
9 10
10 10
8 8
9 9
10 10
8 9
11 11

Comparing against the expansion of Hall-Littlewood symmetric functions in terms of k-Schur functions, it seems that the I-implementation is correct

sage: Sym = SymmetricFunctions(QQ['t'])
sage: Qp = Sym.hall_littlewood().Qp()
sage: ks = Sym.kschur(4)
sage: ks(Qp[2,2,2,2,1,1])[Partition([4,3,2,1])]
t^11 + 2*t^10 + 2*t^9 + 2*t^8

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