A(2)-web immanants

作者:Pylyavskyy Pavlo*
来源:Discrete Mathematics, 2010, 310(15-16): 2183-2197.
DOI:10.1016/j.disc.2010.04.008

摘要

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 reduced 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.

  • 出版日期2010-8-28