A_2-web immanants

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We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A_2-webs. We define consistent labelings of webs, and use them to describe the coefficients of decompositions into irreducible webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices, and describe some further properties.
21 pages, 14 figures

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Combinatorics, Rings and Algebras, 05A15

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http://salesiana.dossiersoluciones.com/handle/123456789/144353

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.2597
 http://arxiv.org/abs/0712.2597

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arXiv