Presentations for Temperley-Lieb algebras
arXiv:2101.02862
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.
14 pages, 9 figures; dedicated to the memory of VFR Jones; to appear in QJ Math