Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system
Quantum Algebra
2017-10-30 v1
Abstract
In this article we consider conditions under which projection operators in multiplicity free semi-simple tensor categories satisfy Temperley-Lieb like relations. This is then used as a stepping stone to prove sufficient conditions for obtaining a representation of the Birman-Murakami-Wenzl algebra from a braided multiplicity free semi-simple tensor category. The results are found by utalising the data of the categories. There is considerable overlap with the results found in arXiv:1607.08908, where proofs are shown by manipulating diagrams.
Keywords
Cite
@article{arxiv.1710.09999,
title = {Temperley-Lieb and Birman-Murakami-Wenzl like relations from multiplicity free semi-simple tensor system},
author = {Peter E. Finch},
journal= {arXiv preprint arXiv:1710.09999},
year = {2017}
}