Inductive basis on Birman-Murakami-Wenzl algebras and (transverse) Markov traces
Geometric Topology
2017-11-27 v1 Quantum Algebra
Representation Theory
Abstract
We construct a new inductive basis of the Birman-Murakami-Wenzl algebra. Using it, we provide a new proof of the existence of the Markov trace on the BMW algebras affording the two-variable Kauffman polynomial. We prove also that all the transverse Markov traces on the BMW algebras are determined by the self-linking number, the HOMFLY-PT polynomial and the two-variable Kauffman polynomial.
Keywords
Cite
@article{arxiv.1711.08670,
title = {Inductive basis on Birman-Murakami-Wenzl algebras and (transverse) Markov traces},
author = {Loïc Poulain d'Andecy and Anne-Laure Thiel and Emmanuel Wagner},
journal= {arXiv preprint arXiv:1711.08670},
year = {2017}
}
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31 pages