A_2-web immanants
Combinatorics
2007-12-18 v1 Rings and Algebras
Abstract
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.
Cite
@article{arxiv.0712.2597,
title = {A_2-web immanants},
author = {Pavlo Pylyavskyy},
journal= {arXiv preprint arXiv:0712.2597},
year = {2007}
}
Comments
21 pages, 14 figures