Yang-Baxter relation planar algebras
Operator Algebras
2016-04-05 v3 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We give a new type of Schur-Weyl duality for the representations of a family of quantum subgroups and their centralizer algebra. We define and classify singly-generated, Yang-Baxter relation planar algebras. We present the skein theoretic construction of a new parameterized planar algebra. We construct infinitely many new subfactors and unitary fusion categories, and compute their trace formula as a closed-form expression, in terms of Young diagrams.
Cite
@article{arxiv.1507.06030,
title = {Yang-Baxter relation planar algebras},
author = {Zhengwei Liu},
journal= {arXiv preprint arXiv:1507.06030},
year = {2016}
}
Comments
77 pages, 159 figures