The srank Conjecture on Schur's $Q$-Functions

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dc.creatorChen, William Y. C.
dc.creatorDou, Donna Q. J.
dc.creatorTang, Robert L.
dc.creatorYang, Arthur L. B.
dc.date2008-05-19
dc.date.accessioned2026-07-07T09:39:40Z
dc.date.available2026-07-07T09:39:40Z
dc.descriptionWe show that the shifted rank, or srank, of any partition $λ$ with distinct parts equals the lowest degree of the terms appearing in the expansion of Schur's $Q_λ$ function in terms of power sum symmetric functions. This gives an affirmative answer to a conjecture of Clifford. As pointed out by Clifford, the notion of the srank can be naturally extended to a skew partition $λ/μ$ as the minimum number of bars among the corresponding skew bar tableaux. While the srank conjecture is not valid for skew partitions, we give an algorithm to compute the srank.
dc.description25 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0805.2782
dc.identifierhttp://arxiv.org/abs/0805.2782
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161259
dc.subjectCombinatorics
dc.subject05E05, 20C25
dc.titleThe srank Conjecture on Schur's $Q$-Functions
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