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

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We 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.
30 pages, 13 figures

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Combinatorics, 05A15; 05E10

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http://salesiana.dossiersoluciones.com/handle/123456789/120852

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612842
 http://arxiv.org/abs/math/0612842

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arXiv