Semi-simplicity of Temperley-Lieb Algebras of type D
Representation Theory
2021-05-06 v2 Rings and Algebras
Abstract
We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra being semi-simple by studying branching rule for cell modules. As a byproduct, our result is used to study the so-called forked Temperley-Lieb algebra, which is a quotient algebra of .
Keywords
Cite
@article{arxiv.2003.06805,
title = {Semi-simplicity of Temperley-Lieb Algebras of type D},
author = {Yanbo Li and Xiaolin Shi},
journal= {arXiv preprint arXiv:2003.06805},
year = {2021}
}
Comments
26 pages