Generalised Temperley-Lieb algebras of type $G(r,1,n)$
Representation Theory
2022-09-02 v1
Abstract
In this paper, we define a quotient of the cyclotomic Hecke algebra of type as a generalisation of the Temperley-Lieb algebras of type and . We establish a graded cellular structure for the generalised Temperley-Lieb algebra and, using the technology of algebras, determine the corresponding decomposition matrix.
Keywords
Cite
@article{arxiv.2209.00186,
title = {Generalised Temperley-Lieb algebras of type $G(r,1,n)$},
author = {Gus Lehrer and Mengfan Lyu},
journal= {arXiv preprint arXiv:2209.00186},
year = {2022}
}