Presentations for Temperley-Lieb algebras
Rings and Algebras
2021-01-13 v2
Abstract
We give a new and conceptually straightforward proof of the well-known presentation for the Temperley-Lieb algebra, via an alternative new presentation. Our method involves twisted semigroup algebras, and we make use of two apparently new submonoids of the Temperley-Lieb monoid.
Cite
@article{arxiv.2101.02862,
title = {Presentations for Temperley-Lieb algebras},
author = {James East},
journal= {arXiv preprint arXiv:2101.02862},
year = {2021}
}
Comments
14 pages, 9 figures; dedicated to the memory of VFR Jones; to appear in QJ Math