Temperley-Lieb pfaffinants and Schur $Q$-positivity conjectures

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dc.creatorLam, Thomas
dc.creatorPylyavskyy, Pavlo
dc.date2006-12-28
dc.date.accessioned2026-07-07T07:37:40Z
dc.date.available2026-07-07T07:37:40Z
dc.descriptionWe study pfaffian analogues of immanants, which we call pfaffinants. Our main object is the TL-pfaffinants which are analogues of Rhoades and Skandera's TL-immanants. We show that TL-pfaffinants are positive when applied to planar networks and explain how to decompose products of complementary pfaffians in terms of TL-pfaffinants. We conjecture in addition that TL-pfaffinants have positivity properties related to Schur Q-functions.
dc.description30 pages, 13 figures
dc.identifierhttps://arxiv.org/abs/math/0612842
dc.identifierhttp://arxiv.org/abs/math/0612842
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120852
dc.subjectCombinatorics
dc.subject05A15; 05E10
dc.titleTemperley-Lieb pfaffinants and Schur $Q$-positivity conjectures
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