On Representations of Affine Temperley--Lieb Algebras
Representation Theory
2023-01-31 v1
Abstract
We study the finite-dimensional simple modules, over an algebraically closed field, of the affine Temperley--Lieb algebra corresponding to the affine Weyl group of type . These turn out to be closely related to the simple modules for a certain -analogue of the annular algebra of V.F.R. Jones.
Keywords
Cite
@article{arxiv.2301.12367,
title = {On Representations of Affine Temperley--Lieb Algebras},
author = {R. M. Green},
journal= {arXiv preprint arXiv:2301.12367},
year = {2023}
}
Comments
24 pages, 3 figures. This paper was published in 1998 in the Proceedings of the 8th International Conference on Representations of Algebras