Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra
Representation Theory
2016-09-20 v3
Abstract
In this paper, we describe the irreducible representations and give a dimension formula for the Framisation of the Temperley-Lieb algebra. We then prove that the Framisation of the Temperley-Lieb algebra is isomorphic to a direct sum of matrix algebras over tensor products of classical Temperley-Lieb algebras. This allows us to construct a basis for it. We also study in a similar way the Complex Reflection Temperley-Lieb algebra.
Keywords
Cite
@article{arxiv.1503.03396,
title = {Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra},
author = {Maria Chlouveraki and Guillaume Pouchin},
journal= {arXiv preprint arXiv:1503.03396},
year = {2016}
}